Question

Find the value of :
1) sin π/8​

Answer 1

Answer:

Use trig identity:

2sin^2 a = 1 - cos 2a

In this case,

a = pi/8 and 2a = pi/4 --> cos pi/4 = sqrt2/2 -->

2sin^2 (pi/8) = 1 - sqrt2/2 = (2 - sqrt2)/2

sin (pi/8) = +- sqrt(2 - sqrt2)/2

Since (pi/8) is in Q. 1, take the positive value.

sin (pi/8) = sqrt(2 - sqrt2)/2

Step-by-step explanation:

hope it helps