What is simplify-cos(pi-npi) ?

The solution to simplify-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))

Apply rule

- (- a) = a

= cos (πn)

Use the basic trigonometric identity:

cos (nπ) = (- 1)^{n}

= (- 1)^{n}

cos (x - 3 0^{\circ})

sec (π - x)

sin (θ) + sin (- θ)

\frac{1}{1 - sin ^{2} ( θ )}

cot (18 0^{\circ} + a)