Question

What is the value of sin67.5? use half angle formula

Answer 1

sin(67.5) = sin(135/2)

Recall that sin²(x/2) = (1 - cos(x))/2 by the half angle formula.

sin(x/2) = +/- √((1 - cos(x))/√2

In this case, sin(67.5) lies in Quad. 1 so sine is positive.

sin(67.5) = √(1 - cos(135))/√2 = √(1 + √2/2)/√2 = √(√2/4 + 1/2) = 0.9239

Answer 2

i was just missing the very last stepp thankk youu!