Evaluate Without Using a Calculator $\sec \beta$ , If $\sin \beta = - \frac { \sqrt { 10 } } { 9 }$

question 473

Multiple Choice

Evaluate without using a calculator.
- $\sec \beta$ , if $\sin \beta = - \frac { \sqrt { 10 } } { 9 }$ , with $\beta$ in quadrant III

• A) \(- \frac { 9 \sqrt { 10 } } { \sqrt { 10 } }\)
• B) \(- \frac { \sqrt { 71 } } { 9 }\)
• C) \(\frac { 9 \sqrt { 71 } } { 71 }\)
• D) \(= \frac { 9 \sqrt { 71 } } { 71 }\)

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