Question

The measure 0 of an angle in standard position is given find the exact values of cos0 and sin0 for each angle measure.

Answer 1

Given:

`\theta=(\pi)/(3)radians`

Required:

To find the value of

`\cos\theta,\sin\theta`

Step-by-step explanation:

Now

`\begin{gathered} \cos((\pi)/(3)rad)=\cos((\pi)/(3)*(180)/(\pi)) \\ \\ =\cos((180)/(3)) \\ \\ =\cos60 \\ \\ =0.5 \end{gathered}`
`\begin{gathered} \sin((\pi)/(3)rad)=\sin60 \\ \\ =(√(3))/(2) \\ \\ =0.87 \end{gathered}`

Final Answer:

`\begin{gathered} \cos((\pi)/(3)rad)=0.5 \\ \\ \sin((\pi)/(3)rad)=(√(3))/(2) \end{gathered}`