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Rina8888 [55]
2 years ago
11

An angle of 90° measures (___) Pi radians.An angle of -pi/5 radians measures ____?°.

Mathematics
1 answer:
a_sh-v [17]2 years ago
4 0

\huge \bf༆ Answer ༄

Conversion from degree to radian ~

  • \boxed{ \sf{ \frac{\pi}{180} \times  \theta }}

  • \sf \dfrac{\pi}{180 } \times 90

  • \sf \dfrac{\pi}{2}  \:  \: rad

Conversion from radians to degree ~

  • \boxed{ \sf{ \frac{180}{\pi}  \times  \theta}}

  • \sf \dfrac{180}{\pi}  \times   - \dfrac{ \pi}{5}

  • \sf  - 36 \degree

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Answer:

C) -\frac{47}{49}

Step-by-step explanation:

By the cos double angle formula, we know \cos(2\theta)=2\cos^2\theta-1. Substituting \cos \theta into the formula, we get

\cos(2\theta)=2(-\frac{1}{7})^2-1\\~~~~~~~~~~=\frac{2}{49}-1\\~~~~~~~~~~=\boxed{-\frac{47}{49}}.

The answer is C.

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