What is sin(arcsec(5x+1)) ?

The solution to sin(arcsec(5x+1)) is (sqrt(25x^2+10x))/(5x+1)

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simplify sin(arcsec(5x+1))

simplify

sin (arcsec (5 x + 1))

\frac{25 x ^{2} + 10 x}{5 x + 1}

Solution steps

sin (arcsec (5 x + 1))

Use the following identity:

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

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

Simplify

= \frac{25 x ^{2} + 10 x}{5 x + 1}

tan (arcsec (\frac{x}{4}))

\frac{1}{2} sin (x - π)

4 sin (3 x - π)

arctan (sin (arctan (x)))

\frac{1}{2} tan (x + \frac{π}{4})

What is sin(arcsec(5x+1)) ?
The solution to sin(arcsec(5x+1)) is (sqrt(25x^2+10x))/(5x+1)