What is the general solution for 0=-2sin(x) ?

The general solution for 0=-2sin(x) is x=2pin,x=pi+2pin

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0=-2sin(x)

0 = - 2 sin (x)

x = 2 πn, x = π + 2 πn

Solution steps

0 = - 2 sin (x)

Switch sides

- 2 sin (x) = 0

Divide both sides by

- 2

sin (x) = 0

General solutions for

sin (x) = 0

x = 0 + 2 πn, x = π + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn, x = π + 2 πn

cos (2 θ) - 3 cos (θ) = 0

tan (x) + sec (x) = 0

cos (θ) = \frac{3}{2}

cos^{2} (θ) + 2 sin (θ) cos (θ) - sin^{2} (θ) = 0

sin (x) - cos (x) = 0, 0 \leq x \leq 2 π

What is the general solution for 0=-2sin(x) ?
The general solution for 0=-2sin(x) is x=2pin,x=pi+2pin