Use the given information to determine the exact trigonometric value

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bm42400

High School

Use the given information to determine the exact trigonometric value.

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frika

Verified answer

Answer:
A
Step-by-step explanation:
Use the main trigonometric equality:
$\cos ^2\theta+\sin^2\theta=1.$
Since $\sin\theta=-\dfrac{1}{5},$ you have that
$\cos^2\theta=1-\left(-\dfrac{1}{5}\right)^2=1-\dfrac{1}{25}=\dfrac{24}{25}.$
You know that $\pi$ thus $\cos \theta$
and
$\cos\theta=-\sqrt{\dfrac{24}{25}}=-\dfrac{2\sqrt{6}}{5}.$
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jadascott74

Answer:
A.) $-\frac{2\sqrt{6} }{5}$
Step-by-step explanation:
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