Question

ITSII CUDA sec40 - cosec?0 + tan4 0 - cot4 0 = (2 sec20 tan2 - cosec- O coto)

11th - 12th Class

Maths

Solution

121

4.0 (1 ratings)

( sec ^{4} theta-operatorname{cosec}^{2} theta+tan ^{4} theta-cot ^{4} theta ) ( =sec ^{2} theta cdot frac{sec ^{2} theta}{longrightarrow}-operatorname{cosec}^{2} theta+tan ^{2} theta cdot tan ^{2} theta-cot ^{2} theta frac{cot ^{2} theta}{=} ) ( left{begin{array}{l}sec ^{2} theta=1+tan ^{2} theta cot ^{2} theta=operatorname{cosec}^{2} theta-1 tan ^{2} theta=sec ^{2} theta-1end{array}right. )