If `tan A = sqrt2 -1` then prove that `sinA cosA = 1 / (2 sqrt2`

If tanA=sqrt2-1 then prove that sinA cosA=1/(2sqrt2)

Prove that sinA/(1+cosA)=tan(A/2)

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

If tan A = sqrt2-1 show that (tanA)/(1+tan^2A)=(sqrt2)/4 = sinA cos A .

If sinA=(1)/(sqrt2) , then tanA = ……….

Prove that cot(A/2)=sinA/(1-cosA)

If sinA+cosA=sqrt(2), then the value of cos^(2) A is

Fill in the gaps with correct answer . If (1+sinA)/(cosA) = sqrt2+1 , then the value of (1-sinA)/(cosA) is _____.

Prove that (cosA-sinA)/(cosA+sinA)=sec2A-tan2A

Prove that: (1+sinA-cosA)/(1+sinA+cosA)=tanA/2