What is tan(arcsin(2x)) ?

The solution to tan(arcsin(2x)) is (2xsqrt(1-4x^2))/(1-4x^2)

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simplify tan(arcsin(2x))

simplify

tan (arcsin (2 x))

\frac{2 x 1 - 4 x ^{2}}{1 - 4 x ^{2}}

Solution steps

tan (arcsin (2 x))

Use the following identity:

tan (arcsin (x)) = \frac{x 1 - x ^{2}}{1 - x ^{2}}

= \frac{2 x 1 - ( 2 x ) ^{2}}{1 - ( 2 x ) ^{2}}

Simplify

= \frac{2 x 1 - 4 x ^{2}}{1 - 4 x ^{2}}

cos (arctan (x yz))

am - bm tan (- bn)

sin (arcsin (x + 1))

cos (x) + cos (x + \frac{π}{3})

sec^{- 2} (- x) + csc^{- 2} (π - x)

What is tan(arcsin(2x)) ?
The solution to tan(arcsin(2x)) is (2xsqrt(1-4x^2))/(1-4x^2)