Question

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

Answer 1

$1 \div ( \cot ^{2} ( \beta ) + 1) \\ = 1 \div \ \csc ^{2} ( \beta ) \\ = \sin^{2} ( \beta )$

As

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

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