What is the sine of 60 degrees

Jan 25, 2024 ... Answer to Solved Exact valie of sin(60 degrees) | Chegg.com.

The negative solution is rejected because 45 ∘ is an acute angle and Sine of Acute Angle is Positive . Therefore: sin45 ∘ = 1 √2 = √2 2. .So a negative angle is one that starts in a clockwise direction. 60 is the angle 60 degrees above the x-axis so -60 is the angle 60 degrees below the x-axis. Angle measures are considered cyclic and any angle x x is equal to x ± 360 x ± 360. So −60 − 60 is the same thing as 300 300. In particular 180 = -180. Also convenient are -90 = 270.To find the value of sin 600 degrees using the unit circle, represent 600° in the form (1 × 360°) + 240° [∵ 600°>360°] ∵ sine is a periodic function, sin 600° = sin 240°. Rotate ‘r’ anticlockwise to form a 240° or 600° angle with the positive x-axis.Answer: sin (105°) = 0.9659258263. Note: angle unit is set to degrees. Use our sin (x) calculator to find the sine of 105 degrees - sin (105 °) - or the sine of any angle in degrees and in radians.Learn about the relationship between the sine & cosine of complementary angles, which are angles who together sum up to 90°. We want to prove that the sine of an angle equals the cosine of its complement. sin. ⁡. ( θ) = cos. ⁡. ( 90 …

At t = π 3 (60°), t = π 3 (60°), the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, ... Given an angle in standard position, find the reference angle, and the cosine and sine of the original angle. Measure the angle between the terminal side of the given angle and the horizontal axis.A degree of arc is subdivided into 60 'minutes of arc', or just 'minutes'. An arcminute is further divided into 60 arcseconds. So there are 60^2=3600 arcseconds in a degree. We denote an arcminute with a ', and an arcsecond with a ". So 158º 10' is 158 degrees, 10 minutes, or 158 and one-sixth degrees (since 10/60=1/6).For sin 69 degrees, the angle 69° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 69° value = 0.9335804. . . Since the sine function is a periodic function, we can represent sin 69° as, sin 69 degrees = sin (69° + n × 360°), n ∈ Z. ⇒ sin 69° = sin 429° = sin 789°, and so on.Step 1. a unit circle is a circle of unit radius—that is, a radius of 1. 1) What is the radius of the unit circle? 2) Identify the sine, cosine and tan for either 30,45 , or 60 degrees in the 1st Quadrant using exact values NOT decimal approximations. 3) What angle in each quadrant has the same reference angle as chosen in step 2?Dec 21, 2015 ... Comments19 · Sine, cosine, and tangent of 30, 45, and 60 degrees · Trigonometry Exact Values · How To Find The Exact Trigonometric Values - Tr...Q 5. Evaluate the following. (i) sin60° cos30° + sin30° cos 60°. (ii) 2tan245 ° + cos 2 30° − sin 2 60°. (iii) (iv) (v) View Solution. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate the following 2 tan2 45circ cos2 30circ sin2 60circ.

Jul 23, 2023 ... Sin 60° = √3/2 but why? || लेकिन कैसे ...For sin 69 degrees, the angle 69° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 69° value = 0.9335804. . . Since the sine function is a periodic function, we can represent sin 69° as, sin 69 degrees = sin (69° + n × 360°), n ∈ Z. ⇒ sin 69° = sin 429° = sin 789°, and so on.Therefore, Sin 30 degree equals to the fractional value of 1/ 2. Sin 30° = 1 / 2. Therefore, sin 30 value is 1/2. In the same way, we can derive other values of sin degrees like 0°, 30°, 45°, 60°, 90°,180°, 270° and 360°. Below is the trigonometry table, which defines all the values of sine along with other trigonometric ratios.Oct 27, 2012 ... Comments7 · 06 - Review of Essential Trigonometry (Sin, Cos, Tangent - Trig Identities & Functions) · 05 - Sine and Cosine - Definition & Mea...sin(60^@) = sqrt(3)/2color(white)("XX")csc(60^@) = 2/sqrt(3) cos(60^@) = 1/2color(white)("XXXX")sec(60^@) = 2 tan(60^@) = sqrt(3)color(white)("XXX")cot(60^@)=1/sqrt(3) Use the basic trigonometric definitions and the diagram below. Note: only the left half triangle is directly relevant; both sides combine to form an equilateral triangle from which (with the help of the Pythagorean Theorem) the ...

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Sine Degrees Sine Radians Value of Sine Function (sin x) sin 0° sin 0: 0: sin 30° sin π/6: 1/2: sin 45° sin π/4: 1/√2: sin 60° sin π/3: √3/2: sin 90° sin π/2: 1: sin 120° sin 2π/3: √3/2: … From the above equations, we get sin 60 degrees exact value as √3/2. In the same way, we can find the values for cos and tan ratios. Therefore, the exact value of sin 60 degrees is √3/2 Explanation: For sin 240 degrees, the angle 240° lies between 180° and 270° (Third Quadrant ). Since sine function is negative in the third quadrant, thus sin 240° value = - (√3/2) or -0.8660254. . . Since the sine function is a periodic function, we can represent sin 240° as, sin 240 degrees = sin (240° + n × 360°), n ∈ Z.sin. 60. ? Trigonometry Right Triangles Trigonometric Functions of Any Angle.This is a simple trigonometric sine calculator to calculate the sin value in degrees or radians. In order to calculate the sin value on the calculator, just enter the angle and select the angle type as degrees (°) or radians (rad) from the drop down select menu. The calculator will instantly gives you in the result of the sine value. α sin (α)

Step 4: Determine the value of tan. The tan is equal to sin divided by cos. tan = sin/cos. To determine the value of tan at 0° divide the value of sin at 0° by the value of cos at 0°. See the example below. tan 0°= 0/1 = 0. Similarly, the table would be. Angles (In Degrees) 0°. 30°.sin 35° = 0.57358. sin 35 degrees = 0.57358. The sin of 35 degrees is 0.57358, the same as sin of 35 degrees in radians. To obtain 35 degrees in radian multiply 35° by π / 180° = 7/36 π. Sin 35degrees = sin (7/36 × π). Our results of sin35° have been rounded to five decimal places. If you want sine 35° with higher accuracy, then use ...Sep 26, 2010 ... Tutorial on trigonometric ratios for positive multiples of 30, 45 and 60 degrees YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions ...The sine formula is: sin (α) = opposite hypotenuse = a c. Thus, the sine of angle α in a right triangle is equal to the opposite side’s length divided by the hypotenuse. To find the ratio of sine, simply enter the length of the opposite and hypotenuse and simplify. For example, let’s calculate the sine of angle α in a triangle with the ...As the arcsine is the inverse of the sine function, finding arcsin(1/2) is equivalent to finding an angle whose sine equals 1/2. On the unit circle, the values of sine are the y-coordinates of the points on the circle. Inspecting the unit circle, we see that the y-coordinate equals 1/2 for the angle π/6, i.e., 30°.Chart with the sine, cosine, tangent value for each degree in the first quadrant100*sin(60 degrees) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…Sep 26, 2010 ... Tutorial on trigonometric ratios for positive multiples of 30, 45 and 60 degrees YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions ...

For cot 60 degrees, the angle 60° lies between 0° and 90° (First Quadrant ). Since cotangent function is positive in the first quadrant, thus cot 60° value = 1/√3 or 0.5773502. . . ⇒ cot 60° = cot 240° = cot 420°, and so on. Note: Since, cotangent is an odd function, the value of cot (-60°) = -cot (60°).

You only need to know the values that belong in 30, 45 and 60 degrees. Since the other ones can be found by simple metric relations: 180-x, 180+x, 360-x and they will have the same values since they are simetric to 30, 45 and 60. For example 180-30 = 150. The sin of 30 and 150 is #1/2# or 180-60 = 120. The sin of 60 and 120 is #sqrt3/2#Trigonometry Examples. Popular Problems. Trigonometry. Find the Exact Value sin(80) Step 1. The result can be shown in multiple forms. Exact Form: Decimal Form: Learn about the relationship between the sine & cosine of complementary angles, which are angles who together sum up to 90°. We want to prove that the sine of an angle equals the cosine of its complement. sin. ⁡. ( θ) = cos. ⁡. ( 90 ∘ − θ) I'm skeptical. Please show me an example. Learn about the relationship between the sine & cosine of complementary angles, which are angles who together sum up to 90°. We want to prove that the sine of an angle equals the cosine of its complement. sin. ⁡. ( θ) = cos. ⁡. ( 90 ∘ − θ) I'm skeptical. Please show me an example.Explanation: For sin 47 degrees, the angle 47° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 47° value = 0.7313537. . . ⇒ sin 47° = sin 407° = sin 767°, and so on. Note: Since, sine is an odd function, the value of sin (-47°) = -sin (47°).Because if you take the sine of any of those angles-- You could just keep adding 360 degrees. If you take the sine of any of them, you would get square root of 2 over 2. ... So we know that our theta is-- This is 60 degrees. That's its magnitude. But it's going downwards. So it's minus 60 degrees. So theta is equal to minus 60 degrees.sin ⁡ (45 °) = 2 / 2 \sin(45\degree) = \sqrt{2}/2 sin (45°) = 2 /2. Other interesting angles are 30 ° 30\degree 30° and 60 ° 60\degree 60°, as they appear in other special right triangles. For these angles, we have the sine of 30 and the sine of 60 degrees. sin ⁡ (30 °) = 1 / 2 \sin(30\degree) = 1/2 sin (30°) = 1/2Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Trigonometry. Find the Exact Value sin (240 degrees ) sin(240°) sin ( 240 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. −sin(60) - sin ( 60)Jul 3, 2022 ... Q110 | Evaluate: tan 60 degree / sin 60 degree + cos 30 degree | tan 60 / sin 60 + cos 30. 1.1K views · 1 year ago ...more. GRAVITY COACHING ...

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The sine of 60 degrees is: 0.87. These examples show how to use the sin function in Python to calculate the sine of angles in degrees. More Articles : python beautifulsoup requests. Answered on: Friday 30 June, 2023 / Duration: 5-10 min read . Programming Language : Python, Popularity : 9/10.Trigonometry. Find the Exact Value sin (240 degrees ) sin(240°) sin ( 240 °) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. −sin(60) - sin ( 60)Jan 18, 2024 · As the arcsine is the inverse of the sine function, finding arcsin(1/2) is equivalent to finding an angle whose sine equals 1/2. On the unit circle, the values of sine are the y-coordinates of the points on the circle. Inspecting the unit circle, we see that the y-coordinate equals 1/2 for the angle π/6, i.e., 30°. For sin 69 degrees, the angle 69° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 69° value = 0.9335804. . . Since the sine function is a periodic function, we can represent sin 69° as, sin 69 degrees = sin (69° + n × 360°), n ∈ Z. ⇒ sin 69° = sin 429° = sin 789°, and so on.Q 5. Evaluate the following. (i) sin60° cos30° + sin30° cos 60°. (ii) 2tan245 ° + cos 2 30° − sin 2 60°. (iii) (iv) (v) View Solution. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate the following 2 tan2 45circ cos2 30circ sin2 60circ.As you can see from the above screenshot, the SIN function in Excel expects a number as an input. This number usually represents a value in radians. So, in this case, we will write “=SIN (1.0472)”, where 1.0472 is the radians equivalent of 60 degrees. Once we do this, we will get the SIN value of 60 degrees.Evaluate sin(-60 degrees ) Step 1. Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the fourth quadrant. Step 2. The exact value of is . Step 3. The result can be shown in multiple forms. Exact Form:Dec 21, 2015 ... Comments19 · Sine, cosine, and tangent of 30, 45, and 60 degrees · Trigonometry Exact Values · How To Find The Exact Trigonometric Values - Tr...The y-axis starts at zero and goes to ninety by tens. It is labeled degrees. The graphed line is labeled inverse sine of x, which is a nonlinear curve. The line for the inverse sine of x starts at the origin and passes through the points zero point four, twenty-four, zero point sixty-seven, forty, zero point eight, fifty-two, and one, ninety. ….

sin ⁡ (45 °) = 2 / 2 \sin(45\degree) = \sqrt{2}/2 sin (45°) = 2 /2. Other interesting angles are 30 ° 30\degree 30° and 60 ° 60\degree 60°, as they appear in …To find the value of sin 56 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 56° angle with the positive x-axis. The sin of 56 degrees equals the y-coordinate(0.829) of the point of intersection (0.5592, 0.829) of unit circle and r. Hence the value of sin 56° = y = 0.829 (approx) ☛ Also Check: sin 60 degrees; sin 45 degreesGet the values of the trigonometric ratios of angles measured in degrees, minutes and seconds. Get the values for sine, cosine, tangent, cosecant, cotangent, and secant. Sine = sin Cosine = cos Tangent = tan Cosecant = csc Secant = sec Cotangent = cot. Trig Functions Ratio's from Angles in Degrees.For sin 39 degrees, the angle 39° lies between 0° and 90° (First Quadrant ). Since sine function is positive in the first quadrant, thus sin 39° value = 0.6293203. . . Since the sine function is a periodic function, we can represent sin 39° as, sin 39 degrees = sin (39° + n × 360°), n ∈ Z. ⇒ sin 39° = sin 399° = sin 759°, and so on.The exact value of sin(60°) sin ( 60 °) is √3 2 3 2. √3 2 3 2. The result can be shown in multiple forms. Exact Form: √3 2 3 2. Decimal Form: 0.86602540… 0.86602540 …. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Sin 60 Degrees. Before we dive into the calculations and methods, let’s start with the basics. Sin 60 degrees is the value of the sine function at an angle of 60 degrees in a right triangle. It represents the ratio of the length of the side opposite the 60-degree angle to the length of the hypotenuse (the longest side) in the triangle.How do you find the value of #sin 60#? Trigonometry Right Triangles Trigonometric Functions of Any Angle. 1 Answer Gió Apr 25, 2018 I tried this: Explanation: Have a look: Answer link. Related questions. How do …Answer: sin (30°) = 0.5. sin (30°) is exactly: 1/2. Note: angle unit is set to degrees. Online sine calculator. Accepts values in radians and in degrees. Free online sine calculator. sin (x) calculator. What is the sine of 60 degrees, [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1]