What is sin(arccos(-1/p)) ?

The solution to sin(arccos(-1/p)) is (sqrt(p^2-1))/p

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simplify sin(arccos(-1/p))

simplify

sin (arccos (- \frac{1}{p}))

\frac{p ^{2} - 1}{p}

Solution steps

sin (arccos (- \frac{1}{p}))

Use the following identity:

sin (arccos (x)) = 1 - x^{2}

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

Simplify

= \frac{p ^{2} - 1}{p}

csc (\frac{3 π}{2} - b)

sin (n \cdot (- \frac{π}{2}))

sin (- x) csc (x)

25 sec^{2} (5 x) - 25

sec (arctan (6 x))

What is sin(arccos(-1/p)) ?
The solution to sin(arccos(-1/p)) is (sqrt(p^2-1))/p