What is tan(arcsin(5x-1)) ?

The solution to tan(arcsin(5x-1)) is ((5x-1)sqrt(-25x^2+10x))/(-25x^2+10x)

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simplify tan(arcsin(5x-1))

simplify

tan (arcsin (5 x - 1))

\frac{( 5 x - 1 ) - 25 x ^{2} + 10 x}{- 25 x ^{2} + 10 x}

Solution steps

tan (arcsin (5 x - 1))

Use the following identity:

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

= \frac{( 5 x - 1 ) 1 - ( 5 x - 1 ) ^{2}}{1 - ( 5 x - 1 ) ^{2}}

Simplify

= \frac{( 5 x - 1 ) - 25 x ^{2} + 10 x}{- 25 x ^{2} + 10 x}

sec (x) sin (\frac{π}{2} - x)

9 - (3 sin (θ))^{2}

cos (2 π - θ)

sin (arccsc (x))

a tan (- 1)

What is tan(arcsin(5x-1)) ?
The solution to tan(arcsin(5x-1)) is ((5x-1)sqrt(-25x^2+10x))/(-25x^2+10x)