What is sec(arcsin(2x)) ?

The solution to sec(arcsin(2x)) is (sqrt(1-4x^2))/(1-4x^2)

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simplify sec(arcsin(2x))

simplify

sec (arcsin (2 x))

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

Solution steps

sec (arcsin (2 x))

Use the following identity:

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

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

Simplify

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

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