What is the general solution for cos(θ)=-0.4 ?

The general solution for cos(θ)=-0.4 is θ=1.98231…+2pin,θ=-1.98231…+2pin

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cos(θ)=-0.4

cos (θ) = - 0.4

θ = 1.98231 \dots + 2 πn, θ = - 1.98231 \dots + 2 πn

Degrees

θ = 113.57817 \dots^{\circ} + 36 0^{\circ} n, θ = - 113.57817 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - 0.4

Apply trig inverse properties

cos (θ) = - 0.4

General solutions for

cos (θ) = - 0.4

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

θ = arccos (- 0.4) + 2 πn, θ = - arccos (- 0.4) + 2 πn

θ = arccos (- 0.4) + 2 πn, θ = - arccos (- 0.4) + 2 πn

Show solutions in decimal form

θ = 1.98231 \dots + 2 πn, θ = - 1.98231 \dots + 2 πn

tan (φ) = 3

2 sin^{2} (x) + sin (x) = 1, - π \leq x \leq π

cos^{2} (x) + sin (x) = 1, 0 \leq x \leq 2 π

1 + tan^{2} (x) = cot^{2} (x)

1 - 4 tan (3 x + 1) = 17

What is the general solution for cos(θ)=-0.4 ?
The general solution for cos(θ)=-0.4 is θ=1.98231…+2pin,θ=-1.98231…+2pin