What is cos(4pi-npi) ?

The solution to cos(4pi-npi) is (-1)^n

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simplify cos(4pi-npi)

simplify

cos (4 π - nπ)

(- 1)^{n}

Solution steps

cos (4 π - nπ)

Rewrite using trig identities

= cos (πn)

Use the basic trigonometric identity:

cos (nπ) = (- 1)^{n}

= (- 1)^{n}

sin (\frac{nπ}{2}) - sin (nπ)

4 cos (100 π t + π)

\frac{1}{csc ( θ ) sin ( - θ )}

\frac{y ^{2}}{sin ( x )} d y

- 3 sin (2 x - \frac{π}{3})