Solve \sin^{-1}\left(\frac{2a}{1 a^2}\right) \sin^{-

Evaluate

arcsin (\frac{2 a}{1 \times a ^{2}}) arcsin (\frac{2 b}{1 \times b ^{2}}) = 2 arctan (x)

Simplify

More Steps

arcsin (\frac{2}{a}) arcsin (\frac{2}{b}) = 2 arctan (x)

Swap the sides of the equation

2 arctan (x) = arcsin (\frac{2}{a}) arcsin (\frac{2}{b})

Multiply both sides of the equation by \frac{1}{2}

2 arctan (x) \times \frac{1}{2} = arcsin (\frac{2}{a}) arcsin (\frac{2}{b}) \times \frac{1}{2}

Calculate

arctan (x) = arcsin (\frac{2}{a}) arcsin (\frac{2}{b}) \times \frac{1}{2}

Multiply the numbers

arctan (x) = \frac{arcsin ( \frac{2}{a} ) arcsin ( \frac{2}{b} )}{2}

Solution

x = tan (\frac{arcsin ( \frac{2}{a} ) arcsin ( \frac{2}{b} )}{2})

Solve the equation