What is csc(arccos(x/2)) ?

The solution to csc(arccos(x/2)) is (2sqrt(4-x^2))/(4-x^2)

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simplify csc(arccos(x/2))

simplify

csc (arccos (\frac{x}{2}))

\frac{2 4 - x ^{2}}{4 - x ^{2}}

Solution steps

csc (arccos (\frac{x}{2}))

Use the following identity:

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

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

Simplify

= \frac{2 4 - x ^{2}}{4 - x ^{2}}

cos (9 0^{\circ} - (19 x - 74))

cos (\frac{π}{6} - x)

\frac{d x}{sin ^{2} ( x )}

sin (a r cot (- \frac{4}{3}))

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

What is csc(arccos(x/2)) ?
The solution to csc(arccos(x/2)) is (2sqrt(4-x^2))/(4-x^2)