Math, asked by prathmesh5151, 7 months ago

(1+ tan^2 A)+(1+1/tan^2A)
=1/sin2A - sin4 A​

Answers

Answered by priyasha366
3

Step-by-step explanation:

{1/tan = cot, 1+ tan^2 = sec^2, 1+cot^2 = cosec^2}

(1+ tan^{2}A)+(1+cot^{2}A)

sec^{2} + cosec^2

\frac{1}{cos^2} + \frac{1}{sin^2} = \frac{sin^2 +cos^2}{sin^2cos^2}

\frac{1}{sin^2 cos^2} (cos^2 = 1 -sin^{2})

\frac{1}{sin^2 (1 - sin^2)} = \frac{1}{sin^2 - sin^4}

hence proved

Similar questions