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

Divide both sides by

- 1

tan (x) = - 1

General solutions for

tan (x) = - 1

x = \frac{3 π}{4} + πn

sin (x) = - \frac{1}{6}

sin (θ) = \frac{8}{14}

sin (θ) = \frac{8}{10}

- 10 = 8 tan (x) + 6

- 4 sin (2 θ) = 5 cos (2 θ), 0^{\circ} \leq 2 θ < 72 0^{\circ}

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