Use trigonometric identities to simplify the expression. 1/cot^2(B) +1.....the B represents the symbol of beta. (1)/( \ \cot^(2) ( \beta ) + 1 ) ) ​

Question

Use trigonometric identities to simplify the expression. 1/cot^2(B) +1.....the B represents the symbol of beta.


`(1)/( \ \cot^(2) ( \beta ) + 1 ) )`
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Answer 1

`1 / ( \cot ^(2) ( \beta ) + 1) \\ = 1 / \ \csc ^(2) ( \beta ) \\ = \sin^(2) ( \beta )`

As

cosec^1/2 (B)- cot^1/2(B)=1

so cosec^1/2(B)= 1+ cot^1/2 (B)