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

The general solution for 2cos(α)=sqrt(3) is α= pi/6+2pin,α=(11pi)/6+2pin

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2cos(α)=sqrt(3)

2 cos (α) = 3

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

Solution steps

2 cos (α) = 3

Divide both sides by

2

cos (α) = \frac{3}{2}

General solutions for

cos (α) = \frac{3}{2}

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

(csc (θ) + 2) (3 cot (θ) + 3) = 0

3 tan (x) - 2 sin (x) = 0

2 sin^{2} (2 x) - cos (2 x) - 1 = 0

2 \cdot cos (x) - 1 = 0

cos (x) + 3 sin (x) = 2

What is the general solution for 2cos(α)=sqrt(3) ?
The general solution for 2cos(α)=sqrt(3) is α= pi/6+2pin,α=(11pi)/6+2pin