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

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

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simplify tan(arcsin(x-1))

simplify

tan (arcsin (x - 1))

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

Solution steps

tan (arcsin (x - 1))

Use the following identity:

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

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

Simplify

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

2 cos (x + 3 0^{\circ}) - sin (x)

(2 sec (x))^{2} - 4

\frac{d y}{cot ( y )}

sec (π + x)

(- cos (- \frac{π}{4} + x))^{2}

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