What is the general solution for 1-3cos(x)=1 ?

The general solution for 1-3cos(x)=1 is x= pi/2+2pin,x=(3pi)/2+2pin

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1-3cos(x)=1

1 - 3 cos (x) = 1

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Solution steps

1 - 3 cos (x) = 1

Subtract

1

from both sides

1 - 3 cos (x) - 1 = 1 - 1

Simplify

- 3 cos (x) = 0

Divide both sides by

- 3

cos (x) = 0

General solutions for

cos (x) = 0

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

cos (3 x) - cos (2 x) = 0

tan (2 x + 1 0^{\circ}) = 1.5

- 5 sec^{2} (x) - 10 sec (x) = - 15

tan (x + 2 0^{\circ}) = cot (x)

2 sin (θ) = cot (θ)

What is the general solution for 1-3cos(x)=1 ?
The general solution for 1-3cos(x)=1 is x= pi/2+2pin,x=(3pi)/2+2pin