What is sin(arcsec(x/6)) ?

The solution to sin(arcsec(x/6)) is (sqrt(x^2-36))/x

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simplify sin(arcsec(x/6))

simplify

sin (arcsec (\frac{x}{6}))

\frac{x ^{2} - 36}{x}

Solution steps

sin (arcsec (\frac{x}{6}))

Use the following identity:

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

= \frac{( \frac{x}{6} ) ^{2} - 1}{( \frac{x}{6} )}

Simplify

= \frac{x ^{2} - 36}{x}

sin (\frac{π}{2} + φ)

sec (9 0^{\circ} + θ)

cos (π - θ) - 1

- sin (18 0^{\circ} + x)

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