Question

Find a exact value of the function

Answer 1

Given the functions:

$\begin{gathered} f(\theta)=\sin \theta \\ g(\theta)=\cos \theta \end{gathered}$

we will find the value of [g(θ)]² when θ = 60

So,

$\lbrack g(\theta)\rbrack^2=(\cos \theta)^2$

Substitute with θ = 60

So,

$\lbrack g(\theta)\rbrack^2=(\cos 60)^2=(\frac{1}{2})^2=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$

So, the answer will be option → A. [g(θ)]² = 1/4