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

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

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solvefor x,sin(x)+cos(x)=0

solve for

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

x = \frac{3 π}{4} + πn

Solution steps

sin (x) + cos (x) = 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

6 sin (x) = 3

4 csc (x) + 5 = 0

2 cos (\frac{2 x}{3}) - 1 = 0

tan (x) + 1 = 0, 0 \leq x \leq 2 π

8 sin^{2} (θ) + 10 sin (θ) - 2 = 4 sin (θ) - 3

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