What is sin(x+pi)cos(3pi-x) ?

The solution to sin(x+pi)cos(3pi-x) is sin(x)cos(x)

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simplify sin(x+pi)cos(3pi-x)

simplify

sin (x + π) cos (3 π - x)

sin (x) cos (x)

Solution steps

sin (x + π) cos (3 π - x)

Rewrite using trig identities

= sin (x + π) (- cos (x))

Rewrite using trig identities

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

Remove parentheses:

(- a) = - a, - (- a) = a

= sin (x) cos (x)

sec (- x) - sin (- x) tan (- x)

0.02 sin (10 π t - \frac{π}{2})

sec (arcsin (2 x))

sin (6 π + x)

sin^{3} (π + x)

What is sin(x+pi)cos(3pi-x) ?
The solution to sin(x+pi)cos(3pi-x) is sin(x)cos(x)