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Find the Exact Value Under the Given Conditions Find tan(αβ)\tan ( \alpha - \beta )

question 359

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Find the exact value under the given conditions.
- cosα=513,π2<α<π;sinβ=817,π2<α<π\cos \alpha = - \frac { 5 } { 13 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \sin \beta = \frac { 8 } { 17 } , \frac { \pi } { 2 } < \alpha < \pi \quad Find tan(αβ) \tan ( \alpha - \beta ) .


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