What is sin(pi-x)cos(pi+x) ?

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

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simplify sin(pi-x)cos(pi+x)

simplify

sin (π - x) cos (π + x)

- sin (x) cos (x)

Solution steps

sin (π - x) cos (π + x)

Rewrite using trig identities

= sin (π - x) (- cos (x))

Rewrite using trig identities

= sin (x) (- cos (x))

Remove parentheses:

(- a) = - a

= - sin (x) cos (x)

tan (π - 2 j)

4 sin (2 x - \frac{π}{4}) + 3

cos (- 2 π - nπ)

1 + (cot (x))^{2}

tan (45 π + x)

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