Evaluate Without Using a Calculator $\sin \theta$ , If $\cos \theta = \frac { 4 } { 7 }$

question 47

Multiple Choice

Evaluate without using a calculator.
- $\sin \theta$ , if $\cos \theta = \frac { 4 } { 7 }$ and $\tan \theta < 0$

• A) \(- \frac { \sqrt { 33 } } { 4 }\)
• B) \(- \frac { \sqrt { 33 } } { 7 }\)
• C) \(- \sqrt { 33 }\)
• D) \(- \frac { 7 } { 4 }\)

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