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

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

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simplify tan(arcsec(x/7))

simplify

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

\frac{x ^{2} - 49}{7}

Solution steps

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

Use the following identity:

tan (arcsec (x)) = x^{2} - 1

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

Simplify

= \frac{x ^{2} - 49}{7}

\frac{1}{sec ^{2} ( y )} d y

sin (π x - π)

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

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

1 - sin^{2} (t)