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

The general solution for sin(x+pi)+cos(x+pi)=0 is x=(3pi)/4+pin

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

sin (x + π) + cos (x + π) = 0

x = \frac{3 π}{4} + πn

Solution steps

sin (x + π) + cos (x + π) = 0

Rewrite using trig identities

tan (x) + 1 = 0

Move

1

to the right side

tan (x) = - 1

General solutions for

tan (x) = - 1

x = \frac{3 π}{4} + πn

2 sin^{2} (x) - 3 sin (x) = - 1, 0 \leq x \leq 2 π

5 cos (x) + 23 = cos (x)

cos^{2} (x) + 2 sin (x) - 2 = 0

tan^{2} (θ) = 3 tan (θ)

4 sin^{2} (2) cot (x) - 2 = 0

What is the general solution for sin(x+pi)+cos(x+pi)=0 ?
The general solution for sin(x+pi)+cos(x+pi)=0 is x=(3pi)/4+pin