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Sec theta+tan theta=x,prove that sin theta=x2-1/x2+1

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Sec theta+tan theta=x,prove that sin theta=x2-1/x2+1

Posted by Nikku Choudhary 6 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Lucifer ? Morningstar? 6 years, 3 months ago

Sec theta +tan theta =x [given]. [1].|| Sec²theta -- tan² theta = 1. ||. (Sec-tan)(sec +tan)=1.||. (Sec-tan)=1/x [using 1]. Adding both eq. ||. Sec=x²+1/x. || So, cos theta =x/x²+1. ||. Sin theta =√1-cos²theta ||. Sin = √1-x/x²+1. ||™ Sin =x²-1/x²+1.

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Nikku Choudhary 6 years, 3 months ago

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