What is the general solution for cos(θ)=-3/4 ?

The general solution for cos(θ)=-3/4 is θ=2.41885…+2pin,θ=-2.41885…+2pin

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cos(θ)=-3/4

cos (θ) = - \frac{3}{4}

θ = 2.41885 \dots + 2 πn, θ = - 2.41885 \dots + 2 πn

Degrees

θ = 138.59037 \dots^{\circ} + 36 0^{\circ} n, θ = - 138.59037 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{3}{4}

Apply trig inverse properties

cos (θ) = - \frac{3}{4}

General solutions for

cos (θ) = - \frac{3}{4}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

θ = arccos (- \frac{3}{4}) + 2 πn, θ = - arccos (- \frac{3}{4}) + 2 πn

θ = arccos (- \frac{3}{4}) + 2 πn, θ = - arccos (- \frac{3}{4}) + 2 πn

Show solutions in decimal form

θ = 2.41885 \dots + 2 πn, θ = - 2.41885 \dots + 2 πn

sin^{2} (x) - 3 sin (x) + 2 = 0

sin (θ) = \frac{1}{5}

sin (4 x) = sin (2 x)

cos^{2} (x) = sin^{2} (x) - \frac{2}{2}

cos (2 θ) - sin (θ) = 0

What is the general solution for cos(θ)=-3/4 ?
The general solution for cos(θ)=-3/4 is θ=2.41885…+2pin,θ=-2.41885…+2pin