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Trigonometry
Question

Find the exact value of each of the remaining trig...

Find the exact value of each of the remaining trigonometric functions of \( \theta \) . 

\( \cos \theta = - \frac { 5 } { 13 } , \theta \) in Quadrant III

 \(\sin \theta = \square \) 

\( \tan \theta = \square \) 

\( \cot \theta = \square \)  

\( \sec \theta = \square \) 

\( \csc \theta = \square \) 

Answer

sin\(\theta \)=\(\frac { 12} { 13} \)

tan\(\theta \)=\(- \frac { 12} { 5} \)

cot\(\theta \)=\(- \frac { 5} { 12} \)

sec\(\theta \)=\(- \frac { 13} { 5} \)

csc\(\theta \)=\(\frac { 13} { 12} \)

Solution
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