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

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

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cos(x)+sin(x)=0

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

cos (x) + sin (x) tan (x) = 2

tan (θ) = \frac{3}{3}

cos (\frac{x}{2}) = \frac{2}{2}

sin (10 5^{\circ})

3 tan^{3} (θ) = tan (θ)

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