Find the Exact Value Under the Given Conditions$\sin \alpha = \frac { 3 } { 5 } , \frac { \pi } { 2 }

Question

Find the Exact Value Under the Given Conditions$\sin \alpha = \frac { 3 } { 5 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \cos \beta = \frac { 2 } { 5 } , 0 < \beta < \frac { \pi } { 2 }$

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The Answer of Find the Exact Value Under the Given Conditions$\sin \alpha = \frac { 3 } { 5 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \cos \beta = \frac { 2 } { 5 } , 0 < \beta < \frac { \pi } { 2 }$

Find the Exact Value Under the Given Conditions $\sin \alpha = \frac { 3 } { 5 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \cos \beta = \frac { 2 } { 5 } , 0 < \beta < \frac { \pi } { 2 }$

Definitions:

Find the Exact Value Under the Given Conditions sin⁡α=35,π2<α<π;cos⁡β=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 }sinα=53​,2π​<α<π;cosβ=52​,0<β<2π​

Definitions:

Find the Exact Value Under the Given Conditions $\sin \alpha = \frac { 3 } { 5 } , \frac { \pi } { 2 } < \alpha < \pi ; \quad \cos \beta = \frac { 2 } { 5 } , 0 < \beta < \frac { \pi } { 2 }$