Question

tan(theta+pi)+2sin(theta+pi)=0

Answer 1

prove?

Answer 2

first, simplify it by using the identities :
tan(x+pi) = tanx
sin(x+pi) = -sinx

Answer 3

so, it can be
tanx - 2sinx = 0
sorry, i assumed theta like the x

Answer 4

use the identity again, tanx = sinx/cosx
sinx/cosx - 2sinx = 0
factor out !
sinx (1/cosx - 2) = 0
for the zeroes take each factor be zero
sinx = 0 OR 1/cosx - 2 = 0
solve for x