Question

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Answer 1

Answer:

Heya....

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We know that

$1 + tan {}^{2}a = sec {}^{2}a$

and

$1 + cot {}^{2}a = cosec {}^{2}a$

Hence ,

The question can be rewritten as :

$1 \div sec {}^{2}a + 1 \div cosec {}^{2}a$ = 1

and

$1 \div seca \: = cosa$

$1 \div coseca \: = sina$

Therefore

Our question can again be rewritten as :

$cos {}^{2} a + sin {}^{2} a = 1$

HENCE PROVED

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