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Use the given information to determine the exact trigonometric value.

Use the given information to determine the exact trigonometric value.-example-1

2 Answers

4 votes

Answer:

A.)
-(2√(6) )/(5)

Explanation:

User Henk Holterman
by
7.5k points
3 votes

Answer:

A

Explanation:

Use the main trigonometric equality:


\cos ^2\theta+\sin^2\theta=1.

Since
\sin\theta=-(1)/(5), you have that


\cos^2\theta=1-\left(-(1)/(5)\right)^2=1-(1)/(25)=(24)/(25).

You know that
\pi<\theta<(3\pi)/(2), thus
\cos \theta<0

and


\cos\theta=-\sqrt{(24)/(25)}=-(2√(6))/(5).

User Ayyaz Zafar
by
8.2k points

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