What is expand cos((1-n)pi) ?

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

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expand cos((1-n)pi)

expand

cos ((1 - n) π)

- (- 1)^{n}

Solution steps

cos ((1 - n) π)

Expand

(1 - n) π : π - πn

= cos (π - πn)

Rewrite using trig identities

= - cos (πn)

Use the basic trigonometric identity:

cos (nπ) = (- 1)^{n}

= - (- 1)^{n}

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