What is csc(arccos(x/6)) ?

The solution to csc(arccos(x/6)) is (6sqrt(36-x^2))/(36-x^2)

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simplify csc(arccos(x/6))

simplify

csc (arccos (\frac{x}{6}))

\frac{6 36 - x ^{2}}{36 - x ^{2}}

Solution steps

csc (arccos (\frac{x}{6}))

Use the following identity:

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

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

Simplify

= \frac{6 36 - x ^{2}}{36 - x ^{2}}

sin (arccos (\frac{x}{a}))

cos (- \frac{π}{2} + 4 h)

\frac{1}{cos ^{3} ( x )} d x

sin^{2} (- sin^{2} (x))

cos (18 0^{\circ} - α)

What is csc(arccos(x/6)) ?
The solution to csc(arccos(x/6)) is (6sqrt(36-x^2))/(36-x^2)