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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