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=((1)/(2))^2=(1)/(2)*(1)/(2)=(1)/(4)`

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