Use the Given Information to Find the Exact Value of the Expression

question 24

Multiple Choice

Use the given information to find the exact value of the expression.
- $\tan \alpha = \frac { 3 } { 4 } , \alpha$ lies in quadrant III, and $\cos \beta = - \frac { 12 } { 13 } , \beta$ lies in quadrant II $\quad$ Find $\sin ( \alpha + \beta )$ .

• A) \(\frac { 16 } { 65 }\)
• B) \(\frac { 63 } { 65 }\)
• C) \(\frac { 33 } { 65 }\)
• D) \(\frac { 56 } { 65 }\)

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