What is tan(arccos(cx)) ?

The solution to tan(arccos(cx)) is (sqrt(1-c^2x^2))/(cx)

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simplify tan(arccos(cx))

simplify

tan (arccos (c x))

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

Solution steps

tan (arccos (c x))

Use the following identity:

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

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

1 - (c x)^{2} = 1 - c^{2} x^{2}

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

cos (θ + 3 θ)

sec (225 0^{\circ} - x)

cos (4 5^{\circ} + x)

cos (cos (4 5^{\circ} + x))

\frac{d y}{csc ( y )}

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