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Sin pi/8 degrees is the value of sine trigonometric function for an angle equal to pi/8. Understand methods to find the value of sin pi/8 with examples and FAQs.

What is the value of sin(pi/8) ? The value of sin(pi/8) is (sqrt(2-\\sqrt{2)})/2

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We know that cos `pi/4 = 1/sqrt(2)` Also `pi/8` lies in the first quadrant, hence sin `pi/8` is positive. Now, cos 2θ = 1 − 2sin 2 θ. By putting θ = `pi/8`, we get, `cos pi/4 = 1 - 2sin^2 pi/8` ∴ `2sin^2 …

Rewrite π 8 π 8 as an angle where the values of the six trigonometric functions are known divided by 2 2. Apply the sine half - angle identity. Change the ± ± to + + because sine is positive in …

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Mar 17, 2021 · In this video, we will learn to find the value of sin (pi/8).The link of the video explaining the proof of the identity cos 2x = 1 - 2 sin^2 x has been given ...

Dec 4, 2017 · Use a half-angle identity to find the exact value of sin(8π). The exact value of sin π/8 will be; ⇒ sin π/8 = √ (√2 - 1) / 2√2. What is an expression? **Mathematical **expression …

Substituting θ = `pi/8`, we get `sin^2 pi/8 = (1 - cos pi/4)/2` = `(1 - 1/sqrt2)/2` = `(sqrt2 - 1)/(2sqrt2)` ∴ `sin pi/8 = sqrt((sqrt(2) - 1)/(2sqrt(2)))` ....`[∵ sin pi/8 "is positive"]` ∴ `sin pi/8 = sqrt((sqrt(2) - …