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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.
- tanα=34,α\tan \alpha = \frac { 3 } { 4 } , \alpha lies in quadrant III, and cosβ=1213,β\cos \beta = - \frac { 12 } { 13 } , \beta lies in quadrant II \quad Find sin(α+β) \sin ( \alpha + \beta ) .


A) 1665\frac { 16 } { 65 }
B) 6365\frac { 63 } { 65 }
C) 3365\frac { 33 } { 65 }
D) 5665\frac { 56 } { 65 }

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