What is csc(arccos(x/(10))) ?

The solution to csc(arccos(x/(10))) is (10sqrt(100-x^2))/(100-x^2)

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simplify csc(arccos(x/(10)))

simplify

csc (arccos (\frac{x}{10}))

\frac{10 100 - x ^{2}}{100 - x ^{2}}

Solution steps

csc (arccos (\frac{x}{10}))

Use the following identity:

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

= \frac{1 - ( \frac{x}{10} ) ^{2}}{1 - ( \frac{x}{10} ) ^{2}}

Simplify

= \frac{10 100 - x ^{2}}{100 - x ^{2}}

tan (+ \frac{cot ( x )}{csc ( x )})

cos (4 x) \cdot cos (- 4 x)

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

cos (4 π t + 5 π)

sin (36 0^{\circ} + θ)

What is csc(arccos(x/(10))) ?
The solution to csc(arccos(x/(10))) is (10sqrt(100-x^2))/(100-x^2)