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

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

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3-3cos(x)=3

3 - 3 cos (x) = 3

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

Solution steps

3 - 3 cos (x) = 3

Subtract

3

from both sides

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

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 (x) = \frac{5}{6}, \frac{3 π}{2} \leq x \leq 2 π

tan (2 x - 3) = - 1

2 sin^{2} (x) + 5 cos (x) - 3 = 0

3 cos^{2} (x) + 4 cos (x) - 4 = 0

sin (θ) = - \frac{27}{190}

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