[" 3.If "tan A=sqrt(2)-1" then prove that "],[sin A cos A=(1)/(2sqrt(2))]

If tan A=sqrt(2)-1 show that sin A cos A=(sqrt(2))/(4)

If tan theta= (sqrt 2)-1 ,prove that sin theta cos theta = 1/2 . .

Prove that : (i) sin(tan^(-1)1) = 1/(sqrt(2))

Prove that : sin(tan^(-1)1) = 1/sqrt2

Prove that: sin cos^-1 tan sec^-1 x= sqrt(2-x^2)

Prove that: sin cos^-1 tan sec^-1 x= sqrt(2-x^2)

Prove that cos[tan^(-1){sin(cos^(-1)x)}]=(1)/(sqrt(2-x^(2)))

If u= cot ^(-1) (sqrt(cos 2 theta)) -tan ^(-1)(sqrt(cos 2 theta)) , then prove that : sin u = tan^(2) theta .

If u = cot^(-1) sqrt(cos 2theta) - tan^(-1) sqrt(cos 2theta) prove that sin u = tan^(2) theta . .

Prove that sin(2 tan ^-1 1/3) + cos (tan^-12sqrt2) = 14/15