What is tan(x+pi)cos(x-pi/2) ?

The solution to tan(x+pi)cos(x-pi/2) is sin(x)tan(x)

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simplify tan(x+pi)cos(x-pi/2)

simplify

tan (x + π) cos (x - \frac{π}{2})

sin (x) tan (x)

Solution steps

tan (x + π) cos (x - \frac{π}{2})

Rewrite using trig identities

= tan (x + π) sin (x)

Rewrite using trig identities

= \frac{sin ( x )}{cos ( x )} sin (x)

Simplify

\frac{sin ( x )}{cos ( x )} sin (x) : \frac{sin ^{2} ( x )}{cos ( x )}

= \frac{sin ^{2} ( x )}{cos ( x )}

Rewrite using trig identities

= sin (x) tan (x)

- 3 cos (3 x + π)

(tan (x^{3} + \frac{π}{4}))^{2}

sin (aπ + \frac{π}{3})

sin (\frac{π}{6} + x)

64 - (8 sin (θ))^{2}

What is tan(x+pi)cos(x-pi/2) ?
The solution to tan(x+pi)cos(x-pi/2) is sin(x)tan(x)