What is sin((arccos(-x))/2+pin) ?

The solution to sin((arccos(-x))/2+pin) is (-1)^nsin((arccos(-x))/2)

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simplify sin((arccos(-x))/2+pin)

simplify

sin (\frac{arccos ( - x )}{2} + πn)

(- 1)^{n} sin (\frac{arccos ( - x )}{2})

Solution steps

sin (\frac{arccos ( - x )}{2} + πn)

Use the basic trigonometric identity:

sin (x + nπ) = (- 1)^{n} sin (x)

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

sin (θ + 9 0^{\circ}) sin (0)

1 + cos (27 0^{\circ} + x)

\frac{1}{n} (sin (n - π))

4 csc^{2} (- 8 cot (x))

sin (\frac{2 π}{3} + x)

What is sin((arccos(-x))/2+pin) ?
The solution to sin((arccos(-x))/2+pin) is (-1)^nsin((arccos(-x))/2)