What is (-1)^ksin(θ+pi) ?

The solution to (-1)^ksin(θ+pi) is -(-1)^ksin(θ)

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simplify (-1)^ksin(θ+pi)

simplify

(- 1)^{k} sin (θ + π)

- (- 1)^{k} sin (θ)

Solution steps

(- 1)^{k} sin (θ + π)

Rewrite using trig identities

= (- 1)^{k} (- sin (θ))

Remove parentheses:

(- a) = - a

= - (- 1)^{k} sin (θ)

cos^{2} (9 0^{\circ} - x)

sec (\frac{π}{2} - θ)

cos (θ - \frac{π}{2})

sec (y) sin (\frac{π}{2} - y)

sec (9 0^{\circ} - θ)