What is sin(arcsec(x/8)) ?

The solution to sin(arcsec(x/8)) is (sqrt(x^2-64))/x

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simplify sin(arcsec(x/8))

simplify

sin (arcsec (\frac{x}{8}))

\frac{x ^{2} - 64}{x}

Solution steps

sin (arcsec (\frac{x}{8}))

Use the following identity:

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

= \frac{( \frac{x}{8} ) ^{2} - 1}{( \frac{x}{8} )}

Simplify

= \frac{x ^{2} - 64}{x}

cos (- x) + tan (- x) sin (- x)

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sin (kn + \frac{π}{3}) + e^{- 0.3 n}