Find the exact value of the expression if θ = 45°. Do not use a calculator.
-$g ( \theta ) = \cos \theta \quad$ Find $[ g ( \theta ) ] ^ { 2 }$.
A) $\frac { 1 } { 2 }$
B) $\sqrt { 2 }$
C) 2
D) $- \frac { \sqrt { 2 } } { 2 }$

Question

Quizplus · Accepted Answer

The value of $\cos(45°)$ is $\frac{\sqrt{2}}{2}$. Squaring this gives $\left(\frac{\sqrt{2}}{2}\right)^2 = \frac{2}{4} = \frac{1}{2}$.

Find the Exact Value of the Expression If θ = g(θ)=cos⁡θg ( \theta ) = \cos \theta \quadg(θ)=cosθ

Find the Exact Value of the Expression If θ = $g ( \theta ) = \cos \theta \quad$