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If tan theta +sin theta =m and tan theta--sin theta =n, show that m²-n²=4√mn.

Posted by Lucifer ? Morningstar? 6 years ago

CBSE > Class 10 > Mathematics

1 answers

Shreya ... 6 years ago

LHS = (Tan thetha+sin theta)^2 - (Tan thetha+sin theta)^2
RHS=4√mn
4√(tan thetha+sin theta)(tan theta-sin theta)
4√(tan^2theta-sin^2theta)
4.√(sin^2theta/cos^2theta-sin^2theta)
4.√sin^2theta-sin^2theta cos^2theta/cos theta = 4.sin theta/cos theta.1√1-cos^2 theta= 4tan.√sin^2 theta = 4 tan theta sin theta.

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