Question

Given that cosΘ = -square root 2/2 and that Θ lies in quadrant III, determine the value of sinΘ.

A) -square root 2/2

B) -square root 3/2

C) square root 2/2

D) square root 3/2

Answer 1

C) (square root 2)/2

Explanation:

In quadrant III, the sine of an angle is positive. The value will be ...

sin(Θ) = √(1 -cos(x)^2) = √(1 -(-√2/2)^2) = √(2/4)

sin(Θ) = (√2)/2