Question

If tan” x = 1 - k2, show that sec x + tan3 x cosec x = + (2 – k2)3/2
IF​

Answer 1

$\Large{\underline{\underline{\tt{\purple{Hello !!}}}}}$

We have ,

$sec \: x + tan {}^{3} x \: cosec \: x$

$sec \: x \: ( \frac{sec \: x + tan {}^{2}x \: cosec \: x }{sec \: x} )$

$sec \: x(1 + tan {}^{3} x .\frac{cosec \: x}{sin \: x} )$

$sec \: x(1 + tan {}^{3} x \: \times cot \: x)$

$\sqrt{1 + tan {}^{2} x} (1 + tan \: {}^{2} x)$

$(1 + \: tan {}^{2} x \: ) \frac{3}{2}$

$(1 + (1 - a {}^{2})) \frac{3}{2}$

$(2 - a {}^{2} ) \frac{3}{2}$

The above result holds true for all the values of a.

Brainliest .. !! ⚠️❤

Answer 2

bhai iss id ke 2 user h -_-

param n megha

seedha bolo ki kisko bol rhe ho

agr megha ko bol rhe ho to sorry vo off chli gyi uska kl schl h