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Find the Exact Value Under the Given Conditions sinα=35,π2<α<π;cosβ=25,0<β<π2\sin \alpha = \frac { 3 } { 5 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \cos \beta = \frac { 2 } { 5 } , 0 < \beta < \frac { \pi } { 2 }

Question 265

Multiple Choice

Find the exact value under the given conditions.
- sinα=35,π2<α<π;cosβ=25,0<β<π2\sin \alpha = \frac { 3 } { 5 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \cos \beta = \frac { 2 } { 5 } , 0 < \beta < \frac { \pi } { 2 }
Find cos(αβ) \cos ( \alpha - \beta )


A) 832125\frac { 8 - 3 \sqrt { 21 } } { 25 }

B) 6+42125\frac { 6 + 4 \sqrt { 21 } } { 25 }

C) 642125\frac { 6 - 4 \sqrt { 21 } } { 25 }

D) 8+32125\frac { - 8 + 3 \sqrt { 21 } } { 25 }

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