What is the general solution for cos(θ)=-0.75 ?

The general solution for cos(θ)=-0.75 is θ=2.41885…+2pin,θ=-2.41885…+2pin

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cos(θ)=-0.75

cos (θ) = - 0.75

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) = - 0.75

Apply trig inverse properties

cos (θ) = - 0.75

General solutions for

cos (θ) = - 0.75

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

θ = arccos (- 0.75) + 2 πn, θ = - arccos (- 0.75) + 2 πn

θ = arccos (- 0.75) + 2 πn, θ = - arccos (- 0.75) + 2 πn

Show solutions in decimal form

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

4 cos (x) = 2 sin (x)

cos (x) + \frac{2}{2} = 0

(6 cos (x) - 5 sin (x))^{2} + 11 sin^{2} (x) = 36

e^{s i n (x)} - 2 = 0

(3 cos (x) - 6 sin (x))^{2} - 27 sin^{2} (x) = - 9

What is the general solution for cos(θ)=-0.75 ?
The general solution for cos(θ)=-0.75 is θ=2.41885…+2pin,θ=-2.41885…+2pin