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

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

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simplify sec(arcsin(x-1))

simplify

sec (arcsin (x - 1))

\frac{- x ^{2} + 2 x}{- x ^{2} + 2 x}

Solution steps

sec (arcsin (x - 1))

Use the following identity:

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

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

Simplify

= \frac{- x ^{2} + 2 x}{- x ^{2} + 2 x}

cos (27 0^{\circ} - x)

sin (arctan (\frac{1}{x}))

cot (π - θ)

sin (27 0^{\circ} + x)

cos (π + x) + cos (x - π)

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