Question

(1- sin sqaure theta ) sec square theta =1

Answer 1

$LHS = ( 1 - sin^{2}\theta) sec^{2} \theta \\= cos^{2} \theta \times \frac{1}{cos^{2} \theta }$

$\underline { \blue { We \:used \: following : }}$

$1 ) 1 - sin^{2} \theta = cos^{2} \theta \\2 ) sec\theta = \frac{1}{cos \theta }$

$= 1 \\= RHS$

Therefore.,

$\red {(1 - sin^{2}\theta) sec^{2} \theta}\green {=1}$

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