What is cos(θ+pi)-sin(θ-pi) ?

The solution to cos(θ+pi)-sin(θ-pi) is -cos(θ)+sin(θ)

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simplify cos(θ+pi)-sin(θ-pi)

simplify

cos (θ + π) - sin (θ - π)

- cos (θ) + sin (θ)

Solution steps

cos (θ + π) - sin (θ - π)

Rewrite using trig identities

= cos (θ + π) - (- sin (θ))

Rewrite using trig identities

= - cos (θ) - (- sin (θ))

Apply rule

- (- a) = a

= - cos (θ) + sin (θ)

\frac{115.2}{153.8208 cot ( θ )}

tan ((\frac{π}{2}) - x)

cot (θ) tan^{3} (θ) + 1

cos (4 π - x)

4 sin (- 2 x)

What is cos(θ+pi)-sin(θ-pi) ?
The solution to cos(θ+pi)-sin(θ-pi) is -cos(θ)+sin(θ)