What is the general solution for cos(θ)=-2/5 ?

The general solution for cos(θ)=-2/5 is θ=1.98231…+2pin,θ=-1.98231…+2pin

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cos(θ)=-2/5

cos (θ) = - \frac{2}{5}

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) = - \frac{2}{5}

Apply trig inverse properties

cos (θ) = - \frac{2}{5}

General solutions for

cos (θ) = - \frac{2}{5}

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

θ = arccos (- \frac{2}{5}) + 2 πn, θ = - arccos (- \frac{2}{5}) + 2 πn

θ = arccos (- \frac{2}{5}) + 2 πn, θ = - arccos (- \frac{2}{5}) + 2 πn

Show solutions in decimal form

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

tan^{2} (θ) - 3 = 0

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

1 + sin (x) = 2 cos^{2} (x)

3 cot (x) = 1

tan (x) = \frac{5}{12}

What is the general solution for cos(θ)=-2/5 ?
The general solution for cos(θ)=-2/5 is θ=1.98231…+2pin,θ=-1.98231…+2pin