What is the general solution for 6cos(2x)=3 ?

The general solution for 6cos(2x)=3 is x= pi/6+pin,x=(5pi)/6+pin

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6cos(2x)=3

6 cos (2 x) = 3

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

Solution steps

6 cos (2 x) = 3

Divide both sides by

6

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

General solutions for

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

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

Solve

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

Solve

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

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

arctan (\frac{x}{42}) = 57

3 tan^{2} (x) = 19

3.6 = 0.116 cos (4.17 x)

cos (x) = \frac{3}{2}, sin (2 x), - 9 0^{\circ} \leq x \leq 0^{\circ}

sin (x) = 2 \cdot 589.594 \cdot 1 0^{- 9} \cdot 300 \cdot 1 0^{3}

What is the general solution for 6cos(2x)=3 ?
The general solution for 6cos(2x)=3 is x= pi/6+pin,x=(5pi)/6+pin