What is the general solution for cos(θ)=-0.8 ?

The general solution for cos(θ)=-0.8 is θ=2.49809…+2pin,θ=-2.49809…+2pin

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cos(θ)=-0.8

cos (θ) = - 0.8

θ = 2.49809 \dots + 2 πn, θ = - 2.49809 \dots + 2 πn

Degrees

θ = 143.13010 \dots^{\circ} + 36 0^{\circ} n, θ = - 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - 0.8

Apply trig inverse properties

cos (θ) = - 0.8

General solutions for

cos (θ) = - 0.8

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

θ = arccos (- 0.8) + 2 πn, θ = - arccos (- 0.8) + 2 πn

θ = arccos (- 0.8) + 2 πn, θ = - arccos (- 0.8) + 2 πn

Show solutions in decimal form

θ = 2.49809 \dots + 2 πn, θ = - 2.49809 \dots + 2 πn

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

tan^{2} (x) + 3 tan (x) = - 1

7 sin (x) - 4 = 0

(sin (x) - 2) (cos (x) + 7) = 0

- 4 tan (θ) - 10 = 4 tan (θ) - 7

What is the general solution for cos(θ)=-0.8 ?
The general solution for cos(θ)=-0.8 is θ=2.49809…+2pin,θ=-2.49809…+2pin