What is the general solution for 3-cos(6x)*6=0 ?

The general solution for 3-cos(6x)*6=0 is x= pi/(18)+(pin)/3 ,x=(5pi}{18}+\frac{pin)/3

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3-cos(6x)*6=0

3 - cos (6 x) \cdot 6 = 0

x = \frac{π}{18} + \frac{πn}{3}, x = \frac{5 π}{18} + \frac{πn}{3}

Solution steps

3 - cos (6 x) \cdot 6 = 0

Move

3

to the right side

- cos (6 x) \cdot 6 = - 3

Divide both sides by

- 6

cos (6 x) = \frac{1}{2}

General solutions for

cos (6 x) = \frac{1}{2}

6 x = \frac{π}{3} + 2 πn, 6 x = \frac{5 π}{3} + 2 πn

Solve

6 x = \frac{π}{3} + 2 πn : x = \frac{π}{18} + \frac{πn}{3}

Solve

6 x = \frac{5 π}{3} + 2 πn : x = \frac{5 π}{18} + \frac{πn}{3}

x = \frac{π}{18} + \frac{πn}{3}, x = \frac{5 π}{18} + \frac{πn}{3}

sin (x) - cos (x) = 1, 0 \leq x \leq 36 0^{\circ}

cos (x) = 0, 6

cos (x) = 0, 5

25 cos^{2} (x) = 9

cos (x) = \frac{2}{29}

What is the general solution for 3-cos(6x)*6=0 ?
The general solution for 3-cos(6x)*6=0 is x= pi/(18)+(pin)/3 ,x=(5pi}{18}+\frac{pin)/3