What is cos(t-pi)-sin(t-pi) ?

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

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simplify cos(t-pi)-sin(t-pi)

simplify

cos (t - π) - sin (t - π)

- cos (t) + sin (t)

Solution steps

cos (t - π) - sin (t - π)

Rewrite using trig identities

= cos (t - π) - (- sin (t))

Rewrite using trig identities

= - cos (t) - (- sin (t))

Apply rule

- (- a) = a

= - cos (t) + sin (t)

sec (- t) - cos (- t) tan^{2} (- t)

cos (2 π + nπ)

cos (\frac{nπ}{2} - \frac{π}{2})

sin (- sin (x))

sin (θ^{1} + θ^{2})

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