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

The measure 0 of an angle in standard position is given find the exact values of cos-example-1
User Andrey Khmelev
by
2.9k points

1 Answer

15 votes
15 votes

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}

User Enkeleda
by
2.6k points
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