1) If \(tan(sin^{-1}A)=\frac{cos^2B(tan^4B-1)+1}{tan^2B}\)

Find the value of A.

2) If \((A+B)^2=\frac{\frac{2}{B}-1+\frac{\sqrt{2}}{B}}{(\frac{B}{A})^2}\)

Express the value of A and B in the form sin x and tan y respectively.

I made up these questions so the questions may not be possible to solve but there is at least 1 solution for each variables in the range 0 > (The variable) > 90 in degrees. Hope these are possible to solve.

MaxWong Jun 14, 2016