What is sec(arcsin((4x)/5)) ?

The solution to sec(arcsin((4x)/5)) is (5sqrt(25-16x^2))/(25-16x^2)

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simplify sec(arcsin((4x)/5))

simplify

sec (arcsin (\frac{4 x}{5}))

\frac{5 25 - 16 x ^{2}}{25 - 16 x ^{2}}

Solution steps

sec (arcsin (\frac{4 x}{5}))

Use the following identity:

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

= \frac{1 - ( \frac{4 x}{5} ) ^{2}}{1 - ( \frac{4 x}{5} ) ^{2}}

Simplify

= \frac{5 25 - 16 x ^{2}}{25 - 16 x ^{2}}

sin (2 π f t - π) + sin (2 π f t + π)

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

3 cos (4 t + \frac{π}{3})

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What is sec(arcsin((4x)/5)) ?
The solution to sec(arcsin((4x)/5)) is (5sqrt(25-16x^2))/(25-16x^2)