What is sin(arcsec(x)) ?

The solution to sin(arcsec(x)) is (sqrt(x^2-1))/x

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simplify sin(arcsec(x))

simplify

sin (arcsec (x))

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

Solution steps

sin (arcsec (x))

Use the following identity:

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

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

sin (x - \frac{π}{2})

tan (\frac{π}{2} - x)

cos (18 0^{\circ} - x)

cos (9 0^{\circ} + x)

sin^{2} (- x)