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

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

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4cos^2(θ)+2=3

4 cos^{2} (θ) + 2 = 3

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn, θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

Solution steps

4 cos^{2} (θ) + 2 = 3

Solve by substitution

cos (θ) = \frac{1}{2}, cos (θ) = - \frac{1}{2}

cos (θ) = \frac{1}{2} : θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn

cos (θ) = - \frac{1}{2} : θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

Combine all the solutions

θ = \frac{π}{3} + 2 πn, θ = \frac{5 π}{3} + 2 πn, θ = \frac{2 π}{3} + 2 πn, θ = \frac{4 π}{3} + 2 πn

cos (kπ) = 0

arcsin (x + 1) = - 0.5

sin (θ) = - 0.8

cos (x^{2}) + sin (x^{2}) = 1

cos (\frac{x}{3} - \frac{π}{4}) = \frac{1}{2}

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