What is the general solution for cos(x+pi)-sin(x-pi)=0 ?

The general solution for cos(x+pi)-sin(x-pi)=0 is x= pi/4+pin

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cos(x+pi)-sin(x-pi)=0

cos (x + π) - sin (x - π) = 0

x = \frac{π}{4} + πn

Solution steps

cos (x + π) - sin (x - π) = 0

Rewrite using trig identities

- 1 + tan (x) = 0

Move

1

to the right side

tan (x) = 1

General solutions for

tan (x) = 1

x = \frac{π}{4} + πn

2 sin (x) tan (x) - tan (x) - 2 sin (x) + 1 = 0

sin (2 x) = \frac{( 6 m - 5 )}{5}

4 cos^{2} (x) + 6 = 7

sec (θ) - 1 = (2 - 1) tan (θ)

cos (a) = - \frac{4}{5}

What is the general solution for cos(x+pi)-sin(x-pi)=0 ?
The general solution for cos(x+pi)-sin(x-pi)=0 is x= pi/4+pin