What is sec(arcsin(u)) ?

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

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simplify sec(arcsin(u))

simplify

sec (arcsin (u))

\frac{1 - u ^{2}}{1 - u ^{2}}

Solution steps

sec (arcsin (u))

Use the following identity:

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

= \frac{1 - u ^{2}}{1 - u ^{2}}

sin (3 π - x)

1 + cot (x - 3 \frac{π}{2})

tan (9 0^{\circ} + θ)

tan (x - 9 0^{\circ})

tan (arccos (\frac{x}{6}))

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