What is the general solution for cos(θ)=-0.8722 ?

The general solution for cos(θ)=-0.8722 is θ=2.63047…+2pin,θ=-2.63047…+2pin

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cos(θ)=-0.8722

cos (θ) = - 0.8722

θ = 2.63047 \dots + 2 πn, θ = - 2.63047 \dots + 2 πn

Degrees

θ = 150.71530 \dots^{\circ} + 36 0^{\circ} n, θ = - 150.71530 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - 0.8722

Apply trig inverse properties

cos (θ) = - 0.8722

General solutions for

cos (θ) = - 0.8722

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

θ = arccos (- 0.8722) + 2 πn, θ = - arccos (- 0.8722) + 2 πn

θ = arccos (- 0.8722) + 2 πn, θ = - arccos (- 0.8722) + 2 πn

Show solutions in decimal form

θ = 2.63047 \dots + 2 πn, θ = - 2.63047 \dots + 2 πn

3 cos (x) + 2 sin (x) cos (x) = 0

(tan (x) - 1) (2 cos (x) + 1) = 0

cot (θ) = - 3, sin (θ) < 0

tan (x) sin (x) + cos (x) = 1

6 sin (t) = 0

What is the general solution for cos(θ)=-0.8722 ?
The general solution for cos(θ)=-0.8722 is θ=2.63047…+2pin,θ=-2.63047…+2pin