Question

(√sec^2theta +cosec^2theta) = tan +cot. Prove the above.

Answer 1

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${Your Answer Is In The Attachment}$

Answer 2

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$\bf{step \: by \: step \: explanation}$

$\bf{Question - }$

(√sec^2theta +cosec^2theta) = tan +cot. Prove the above.

Now

$\bf{solution}$

LHS

$\sf{ \sqrt{ { \sec }^{2} \theta + cosec ^{2} \theta} }$

$\sf{ \sqrt{ \frac{1}{cos ^{2} \theta } + \frac{1}{sin ^{2} \theta} } }$

$\sf{ \frac{1}{cos} + \frac{1}{sin}}$

$\sf{ \frac{cos^2 \theta+ sin^2\theta}{sin \theta\times cos \theta}}$
=>

$\bf{cot \theta + \tan \theta}$

hence proved

thanks