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

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

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

solve for

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

x = \frac{3 π}{4} + πn

Solution steps

cos (x) + sin (x) = 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{3 π}{4} + πn

sin (x) (2 cos (x) - 1) = 0

cos (θ) = 1 + 2 sec (θ)

sin (3 θ) = - 1, 0 \leq θ < 2 π

cos (θ) = cos (arctan (\frac{3}{4}))

13 sin (2 x) - 3 = 3

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