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

The general solution for 6cos(6x-pi/6)+3=0 is x=(pin)/3+(5pi}{36},x=\frac{pin)/3+pi/4

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6cos(6x-pi/6)+3=0

6 cos (6 x - \frac{π}{6}) + 3 = 0

x = \frac{πn}{3} + \frac{5 π}{36}, x = \frac{πn}{3} + \frac{π}{4}

Solution steps

6 cos (6 x - \frac{π}{6}) + 3 = 0

Move

3

to the right side

6 cos (6 x - \frac{π}{6}) = - 3

Divide both sides by

6

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

General solutions for

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

6 x - \frac{π}{6} = \frac{2 π}{3} + 2 πn, 6 x - \frac{π}{6} = \frac{4 π}{3} + 2 πn

Solve

6 x - \frac{π}{6} = \frac{2 π}{3} + 2 πn : x = \frac{πn}{3} + \frac{5 π}{36}

Solve

6 x - \frac{π}{6} = \frac{4 π}{3} + 2 πn : x = \frac{πn}{3} + \frac{π}{4}

x = \frac{πn}{3} + \frac{5 π}{36}, x = \frac{πn}{3} + \frac{π}{4}

2 sin^{2} (x) = \frac{1}{2}

4 cos (x) - 1 = 2 sin (x) tan (x)

sin (3 x + 1 0^{\circ}) = cos (x + 2 0^{\circ})

tan (θ) = \frac{300}{400}

2 cot^{2} (3 x) = 5 csc (3 x) - 4

What is the general solution for 6cos(6x-pi/6)+3=0 ?
The general solution for 6cos(6x-pi/6)+3=0 is x=(pin)/3+(5pi}{36},x=\frac{pin)/3+pi/4