What is sin(arccos(1/(pic))) ?

The solution to sin(arccos(1/(pic))) is sqrt((pi^2c^2-1)/(pi^2c^2))

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simplify sin(arccos(1/(pic)))

simplify

sin (arccos (\frac{1}{π c}))

\frac{π ^{2} c ^{2} - 1}{π ^{2} c ^{2}}

Solution steps

sin (arccos (\frac{1}{π c}))

Use the following identity:

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

= 1 - (\frac{1}{π c})^{2}

Simplify

= \frac{π ^{2} c ^{2} - 1}{π ^{2} c ^{2}}

sin (θ) sin (\frac{π}{2} - θ)

25 + (5 tan (x))^{2}

cos (\frac{cos ( θ )}{sin ( θ )})

sin (9 0^{\circ} - \frac{a}{2})

cos (72 0^{\circ} - x)

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