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Find the Exact Value Under the Given Conditions Find sin(α+β).\sin ( \alpha + \beta ) .

question 40

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Find the exact value under the given conditions.
- tanα=512,π<α<3π2;cosβ=45,π2<β<π\tan \alpha = \frac { 5 } { 12 } , \pi < \alpha < \frac { 3 \pi } { 2 } ; \quad \cos \beta = - \frac { 4 } { 5 } , \frac { \pi } { 2 } < \beta < \pi \quad Find sin(α+β) .\sin ( \alpha + \beta ) .

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