What is cos(-pi+npi) ?

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

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simplify cos(-pi+npi)

simplify

cos (- π + nπ)

- (- 1)^{n}

Solution steps

cos (- π + nπ)

Rewrite using trig identities

= - cos (πn)

Use the basic trigonometric identity:

cos (nπ) = (- 1)^{n}

= - (- 1)^{n}

tan (θ - π)

cos (x + 7 π)

sin (arcsin (x) + \frac{π}{3})

sin (x - \frac{π}{3})

ln (sec (θ)) + ln (cos (θ))