What is cos(2pi+npi) ?

The solution to cos(2pi+npi) is (-1)^n

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simplify cos(2pi+npi)

simplify

cos (2 π + nπ)

(- 1)^{n}

Solution steps

cos (2 π + nπ)

Rewrite using trig identities

= cos (πn)

Use the basic trigonometric identity:

cos (nπ) = (- 1)^{n}

= (- 1)^{n}

cos (\frac{nπ}{2} - \frac{π}{2})

sin (- sin (x))

sin (θ^{1} + θ^{2})

csc (x - 9 0^{\circ})

sin (θ + θ + θ)