Question

if tangent square alpha =1 + 2 tan square bita prove that 2 sin square alpha = 1 + sin squared bita ​

Answer 1

tan^2 alpha = 1+ 2 tan^2 beta

sec^2 alpha = 2( 1+ Tan^2 beta)

sec^2 alpha = 2 sec^2 beta

cos^2 beta = 2 cos^2 alpha

1- sin^2 beta = 2 - 2 sin^2 alpha

1+ sin^2 beta = 2 sin^2 alpha