Math, asked by parvkarhana, 1 year ago

sec² theta + cosec² theta = sec² theta cosec² theta

Answers

Answered by nidhin1056
13

Step-by-step explanation:

LHS=sec^2A + cosec^2A

=(1/cos^2A) + (1/sin^2A)

=sin^2A+cos^2A/cos^2A*sin^2A

(by taking LCM)

=1/cos^2A*sin^2A

=1/cos^2A*1/sin^2A

(by taking 1 on both sides)

=sec^2Acosec^2A

(since, 1/cos=sec and

1/sin=cosecA)

... Hence the proof...

Answered by ajithdskumar
19

Answer:

The proof has been attached below..

Attachments:
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