83.0k views
0 votes
PLEASE HELP



what's x
cos(x+pi)-sin(x-pi)=0

please show work​

1 Answer

4 votes

sin(x+pi)=-sin(x)=sin(-x)=cos(pi/2)

cos (x+pi)=-cos(x)

So according to the question:

cos(pi/2 +x)=cos(x)

Using the solution of cos, obtain:

(pi/2) + x = 2pi +- (x)

case#1: (pi/2) + x = 2pi + (x)

But here, the value of x is canceled, just

case#2: (pi/2) + x = 2pi - (x)

answer------------>>>>>>>>> x=pi-pi/4

User Nikita Platonenko
by
5.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.