What is the general solution for 2cos(θ)+5sqrt(3)=4sqrt(3) ?

The general solution for 2cos(θ)+5sqrt(3)=4sqrt(3) is θ=(5pi)/6+2pin,θ=(7pi)/6+2pin

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2cos(θ)+5sqrt(3)=4sqrt(3)

2 cos (θ) + 53 = 43

θ = \frac{5 π}{6} + 2 πn, θ = \frac{7 π}{6} + 2 πn

Solution steps

2 cos (θ) + 53 = 43

Move

53

to the right side

2 cos (θ) = - 3

Divide both sides by

2

cos (θ) = - \frac{3}{2}

General solutions for

cos (θ) = - \frac{3}{2}

θ = \frac{5 π}{6} + 2 πn, θ = \frac{7 π}{6} + 2 πn

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

sin (x) = - cos^{2} (x) - 1, 0 \leq x \leq 2 π

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

sin (x) \cdot cos (x) = 2 cos^{2} (x)

cos (θ) tan (θ) + cot (θ) = csc (θ)

What is the general solution for 2cos(θ)+5sqrt(3)=4sqrt(3) ?
The general solution for 2cos(θ)+5sqrt(3)=4sqrt(3) is θ=(5pi)/6+2pin,θ=(7pi)/6+2pin