If theta is acute angle,tangata+cottheta=2find tan^7+cot^7=?
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Tan theta +1/tantheta=2tan^2theta+1=2tanthetaTan^2theta+1-2tan theta=0(Tan-1)^2Tantheta-1=0Tantheta=1So,cot theta =1 bcoz,reciprocal Cottheta =1tan^7theta +cot^7thetaSubstitute 1in tan and cot we get answer as 2