Calculate the value of sin22.5. Show the steps.

Sin x/2 = +/-√(1-Cos x)/2

By using the above formula sin 22.5 can be found.

Sin 22.5 = √((1−cos 45)÷2) (Sin 22.5 is in the first quadrant and is positive in the first quadrant, so the positive square root is used)

Sin 22.5 = √((1−(1÷√2))÷2)

= √((√2−1)÷(2√2))

= 0.382683432