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

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

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

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

x = \frac{3 π}{4} + πn

Solution steps

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

Switch sides

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

Rewrite using trig identities

- tan (x) - 1 = 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

9 sin (θ) - 7 = 0

csc (2 x) = 2

sin (4 x) cos (x) - sin (x) cos (4 x) = \frac{3}{2}

7 sin (θ) + 1 = 5 sin (θ)

- 5 cos^{2} (θ) - 4 cos (θ) + 4 = 0

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