What is cos(n*pi+pi) ?

The solution to cos(n*pi+pi) is -(-1)^n

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simplify cos(n*pi+pi)

simplify

cos (n \cdot π + π)

- (- 1)^{n}

Solution steps

cos (nπ + π)

Rewrite using trig identities

= - cos (πn)

Use the basic trigonometric identity:

cos (nπ) = (- 1)^{n}

= - (- 1)^{n}

sin (2 x - \frac{π}{6})

tan (θ - 18 0^{\circ})

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

sin (54 0^{\circ} + θ)

sin (arctan (\frac{x}{9}))