What is sin(arcsec(x/7)) ?

The solution to sin(arcsec(x/7)) is (sqrt(x^2-49))/x

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simplify sin(arcsec(x/7))

simplify

sin (arcsec (\frac{x}{7}))

\frac{x ^{2} - 49}{x}

Solution steps

sin (arcsec (\frac{x}{7}))

Use the following identity:

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

= \frac{( \frac{x}{7} ) ^{2} - 1}{( \frac{x}{7} )}

Simplify

= \frac{x ^{2} - 49}{x}

\frac{h}{tan ( 4 0 ^{\circ} )}

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sin (arccot (\frac{7}{x}))