What is the general solution for 2cos(θ)+sqrt(3)=0 ?

The general solution for 2cos(θ)+sqrt(3)=0 is θ=(5pi)/6+2pin,θ=(7pi)/6+2pin

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2cos(θ)+sqrt(3)=0

2 cos (θ) + 3 = 0

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

Solution steps

2 cos (θ) + 3 = 0

Move

3

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

cot (- \frac{π}{3})

arcsin (sin (\frac{4 π}{3}))

sec (\frac{4 π}{3})

tan (2 x) = 3, 0 \leq x < 2 π

cos (0)

What is the general solution for 2cos(θ)+sqrt(3)=0 ?
The general solution for 2cos(θ)+sqrt(3)=0 is θ=(5pi)/6+2pin,θ=(7pi)/6+2pin