Sin 72 degrees in radians is written as sin (72° × π/180°), i.e., sin (2π/5) or sin (1.256637. . .). In this article, we will discuss the methods to find the value of sin 72 degrees with examples.

We will learn to find the exact value of sin 72 degrees using the formula of submultiple angles. How to find the exact value of sin 72°? Let, A = 18°. Therefore, 5A = 90°. ⇒ 2A + 3A = 90˚. ⇒ 2A = 90˚ - 3A. Taking sine on both sides, we get. sin 2A = sin (90˚ - 3A) = cos 3A. ⇒ 2 sin A cos A = 4 cos 3 3 A - 3 cos A.

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This video works to determine the exact value for the sine of 72 degrees algebraically by setting x=72, writing an equation, and solving for sin(x).For more ...

In this lesson, we will focus on the trigonometric function called sine and its value at 72 degrees, denoted as sin 72°. Before we dive into calculating sin 72°, let's understand what sine is and how it relates to triangles.

Since 72 degree is the complement of 18 degree. \(\therefore\) sin 72 = sin(90 – 18) = cos 18 = \(\sqrt{10 + 2\sqrt{5}}\over 4\) Hence, sin 72 degrees is \(\sqrt{10 + 2\sqrt{5}}\over 4\).

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What is the value of sin (72) ?

2017年2月16日 · The sin of 72 degrees is 0.95106, the same as sin of 72 degrees in radians. To obtain 72 degrees in radian multiply 72° by $\pi$ / 180° = 2/5 $\pi$. Sin 72degrees = sin (2/5 × $\pi)$.

Calculate sin(72) sin is found using Opposite/Hypotenuse. Determine quadrant: Since 0 ≤ 72 ≤ 90 degrees it is in Quadrant I. sin, cos and tan are positive. Determine angle type: 72 90°, so it is acute. sin(72) = 0.95105651585143. Write sin(72) in terms of cos. Since 72° is less than 90... We can express this as a cofunction. sin(θ) = cos ...