What is the general solution for cos(θ)=-4/5 ?

The general solution for cos(θ)=-4/5 is θ=2.49809…+2pin,θ=-2.49809…+2pin

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cos(θ)=-4/5

cos (θ) = - \frac{4}{5}

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) = - \frac{4}{5}

Apply trig inverse properties

cos (θ) = - \frac{4}{5}

General solutions for

cos (θ) = - \frac{4}{5}

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

θ = arccos (- \frac{4}{5}) + 2 πn, θ = - arccos (- \frac{4}{5}) + 2 πn

θ = arccos (- \frac{4}{5}) + 2 πn, θ = - arccos (- \frac{4}{5}) + 2 πn

Show solutions in decimal form

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

2 sin (θ) cos (θ) + cos (θ) = 0

cos (2 θ) + 18 sin^{2} (θ) = 13

t, x = cos (t)

x, sin (x) = \frac{1}{2}

tan^{2} (θ) - 2 tan (θ) = 0

What is the general solution for cos(θ)=-4/5 ?
The general solution for cos(θ)=-4/5 is θ=2.49809…+2pin,θ=-2.49809…+2pin