Find the exact value of the expression if θ = 45°. Do not use a calculator.
-$\mathrm { g } ( \theta ) = \cos \theta \quad$ Find $12 \mathrm {~g} ( \theta )$.
A) $12 \sqrt { 2 }$
B) $- 6 \sqrt { 2 }$
C) $6 \sqrt { 2 }$
D) $- 12 \sqrt { 2 }$

Question

Quizplus · Accepted Answer

The value of $\cos(45°)$ is $\frac{\sqrt{2}}{2}$. Therefore, $12 \mathrm {~g} ( \theta ) = 12 \cos(45°) = 12 \times \frac{\sqrt{2}}{2} = 6\sqrt{2}$.

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

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