What is tan(x-pi)+2sin(x-pi) ?

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

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simplify tan(x-pi)+2sin(x-pi)

simplify

tan (x - π) + 2 sin (x - π)

tan (x) - 2 sin (x)

Solution steps

tan (x - π) + 2 sin (x - π)

Rewrite using trig identities

= tan (x - π) + 2 (- sin (x))

Rewrite using trig identities

= \frac{sin ( x )}{cos ( x )} + 2 (- sin (x))

Remove parentheses:

(- a) = - a

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

Rewrite using trig identities

= tan (x) - 2 sin (x)

cos (3 π - x)

tan (\frac{π}{2} - 2 x)

cos^{2} (5 x + \frac{π}{3})

\frac{1}{tan ( \frac{π}{2} - x )}

cos (- x - π)

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