What is csc(arccos(x/7)) ?

The solution to csc(arccos(x/7)) is (7sqrt(49-x^2))/(49-x^2)

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simplify csc(arccos(x/7))

simplify

csc (arccos (\frac{x}{7}))

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

Solution steps

csc (arccos (\frac{x}{7}))

Use the following identity:

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

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

Simplify

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

sec^{3} (\frac{π}{2} - x)

csc (arctan (q))

cos (2 x + \frac{π}{3})

cos (3 t + 3 π)

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

What is csc(arccos(x/7)) ?
The solution to csc(arccos(x/7)) is (7sqrt(49-x^2))/(49-x^2)