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Trigonometry
Question

Angle \( \alpha \) is in quadrant III and angle \(...

Angle \( \alpha \) is in quadrant III and angle \( \beta \) is in quadrant IV. If \( \sin \alpha = - \frac { 5 } { 6 } \) and \( \cos \beta = \frac { 1 } { 2 } \) , find \( \cos ( \alpha + \beta ) \) . 

\( \frac { \sqrt { 11 } + 5 \sqrt { 3 } } { 6 } \) 

\( \frac { \sqrt { 11 } 5 \sqrt { 3 } } { 6 } \) 

\( \frac { \sqrt { 11 } 5 \sqrt { 3 } } { 12 } \) 

\( \frac { \sqrt { 11 } | 5 \sqrt { 3 } } { 12 } \) 

Answer

option C is correct

Solution
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