Question

$(1 - sin {}^{2} )sec {}^{2} = 1$

Prove it

Answer 1

HOLA

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$(1 - sin {}^{2} )sec {}^{2} = \: 1 \\ \\ (1 - sin {}^{2} ) \: = cos {}^{2} \\ \\ (cos {}^{2} )sec {}^{2} = 1 \\ \\ sec {}^{2} = \: \frac{1}{cos { }^{2} } \\ \\ cos {}^{2} \: \times \: \frac{1}{cos {}^{2} } = \: \: 1 \\ \\ \\ rhs \: = \: lhs$
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HOPE U UNDERSTAND

Answer 2

here is your solution

$(1 - sin {}^{2} )sec {}^{2} = 1 \\lhs \\ = (1 - sin {}^{2} )sec {}^{2} \\ = cos {}^{2} \times sec {}^{2} \\ = 1 \\ lhs = rhs$
Note :-

1 - sin^2 = cos^2

cos^2 × sec^2 = 1