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If theta is acute angle,tangata+cottheta=2find tan^7+cot^7=?

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If theta is acute angle,tangata+cottheta=2find tan^7+cot^7=?

Posted by Lasya Mnr 7 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Lasya Mnr 7 years, 9 months ago

Tan theta +1/tantheta=2 tan^2theta+1=2tantheta Tan^2theta+1-2tan theta=0 (Tan-1)^2 Tantheta-1=0 Tantheta=1 So,cot theta =1 bcoz,reciprocal Cottheta =1 tan^7theta +cot^7theta Substitute 1in tan and cot we get answer as 2

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