What is tan(arccsc(x)) ?

The solution to tan(arccsc(x)) is (sqrt(x^2-1))/(x^2-1)

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simplify tan(arccsc(x))

simplify

tan (arccsc (x))

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

Solution steps

tan (arccsc (x))

Use the following identity:

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

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

1 - cos^{2} (x)

cos (- θ)

tan (arcsec (x))

cos (π - y)

cos (t - π)

What is tan(arccsc(x)) ?
The solution to tan(arccsc(x)) is (sqrt(x^2-1))/(x^2-1)