What is the general solution for 2cos(12x)=sqrt(3) ?

The general solution for 2cos(12x)=sqrt(3) is x= pi/(72)+(pin)/6 ,x=(11pi}{72}+\frac{pin)/6

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2cos(12x)=sqrt(3)

2 cos (12 x) = 3

x = \frac{π}{72} + \frac{πn}{6}, x = \frac{11 π}{72} + \frac{πn}{6}

Solution steps

2 cos (12 x) = 3

Divide both sides by

2

cos (12 x) = \frac{3}{2}

General solutions for

cos (12 x) = \frac{3}{2}

12 x = \frac{π}{6} + 2 πn, 12 x = \frac{11 π}{6} + 2 πn

Solve

12 x = \frac{π}{6} + 2 πn : x = \frac{π}{72} + \frac{πn}{6}

Solve

12 x = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{72} + \frac{πn}{6}

x = \frac{π}{72} + \frac{πn}{6}, x = \frac{11 π}{72} + \frac{πn}{6}

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arccot (x) + arccot (1 + x) = \frac{π}{4}

arcsin (x - 0.355) = 0.489

cos (\frac{π}{2} - x) = \frac{4}{5}

6 = 10 cos (4 \cdot o)

What is the general solution for 2cos(12x)=sqrt(3) ?
The general solution for 2cos(12x)=sqrt(3) is x= pi/(72)+(pin)/6 ,x=(11pi}{72}+\frac{pin)/6