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Evaluate Without Using a Calculator $\cos \omega$ , If $\tan \omega = - \frac { 8 } { 5 }$

Question 482

Multiple Choice

Evaluate without using a calculator.
- $\cos \omega$ , if $\tan \omega = - \frac { 8 } { 5 }$ and $\sin \omega > 0$

A) $-\frac{\sqrt{89}}{5}$
B) $\frac{\sqrt{89}}{8}$
C) $-\frac{5 \sqrt{89}}{89}$
D) $\frac{5 \sqrt{89}}{89}$

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