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

Question 14

Multiple Choice

Use the given information to find the exact value of the expression.
- sinα=35,α\sin \alpha = \frac { 3 } { 5 } , \alpha lies in quadrant II, and cosβ=25,β\cos \beta = \frac { 2 } { 5 } , \beta lies in quadrant I \quad Find cos(αβ) \cos ( \alpha - \beta ) .


A) 8+32125\frac { - 8 + 3 \sqrt { 21 } } { 25 }
B) 6+42125\frac { 6 + 4 \sqrt { 21 } } { 25 }
C) 642125\frac { 6 - 4 \sqrt { 21 } } { 25 }
D) 832125\frac { 8 - 3 \sqrt { 21 } } { 25 }

Correct Answer:

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