What is the general solution for cos(θ)=-3/5 ?

The general solution for cos(θ)=-3/5 is θ=2.21429…+2pin,θ=-2.21429…+2pin

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cos(θ)=-3/5

cos (θ) = - \frac{3}{5}

θ = 2.21429 \dots + 2 πn, θ = - 2.21429 \dots + 2 πn

Degrees

θ = 126.86989 \dots^{\circ} + 36 0^{\circ} n, θ = - 126.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{3}{5}

Apply trig inverse properties

cos (θ) = - \frac{3}{5}

General solutions for

cos (θ) = - \frac{3}{5}

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

θ = arccos (- \frac{3}{5}) + 2 πn, θ = - arccos (- \frac{3}{5}) + 2 πn

θ = arccos (- \frac{3}{5}) + 2 πn, θ = - arccos (- \frac{3}{5}) + 2 πn

Show solutions in decimal form

θ = 2.21429 \dots + 2 πn, θ = - 2.21429 \dots + 2 πn

2 cos^{2} (x) - 7 cos (x) - 4 = 0

2 tan^{2} (t) = 3 sec (t)

sin (θ) = \frac{12}{13}

sin (x) = \frac{1}{5}

sin (x) = - \frac{2}{3}

What is the general solution for cos(θ)=-3/5 ?
The general solution for cos(θ)=-3/5 is θ=2.21429…+2pin,θ=-2.21429…+2pin