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If tana+cota=2,prove that tan square a+cot …

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If tana+cota=2,prove that tan square a+cot square a=2
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Lokesh C S 5 years, 5 months ago

tan A + cot A = 2 , to prove tan^2 A + cot^2 A = 2 Squring (tan A + cot A )^2 = tan^2 A + cot ^2 A + 2 × tan A × cot A = tan^2 A + cot^2 A + 2 × tan A × 1/tan A ( cot A is inverse of tan A ) = tan^2 A + cot^2 A + 2 (2)^2 = tan^2 A + cot^2 A + 2 4 - 2 = tan ^2 A + cot^2 A 2 = tan^2 A + cot^2 A hence provef
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