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

The general solution for cos(θ)=-(sqrt(3))/4 is θ=2.01862…+2pin,θ=-2.01862…+2pin

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cos(θ)=-(sqrt(3))/4

cos (θ) = - \frac{3}{4}

θ = 2.01862 \dots + 2 πn, θ = - 2.01862 \dots + 2 πn

Degrees

θ = 115.65890 \dots^{\circ} + 36 0^{\circ} n, θ = - 115.65890 \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 = 2.01862 \dots + 2 πn, θ = - 2.01862 \dots + 2 πn

tan (θ) = \frac{3}{2}

5 sin (θ) + 7 = 0

5 sin (x) tan (x) + 4 tan (x) = 0

y, tan (y) = x

2 cos (x) + 5 = 4

What is the general solution for cos(θ)=-(sqrt(3))/4 ?
The general solution for cos(θ)=-(sqrt(3))/4 is θ=2.01862…+2pin,θ=-2.01862…+2pin