What is the general solution for cos(θ)=-12/13 ?

The general solution for cos(θ)=-12/13 is θ=2.74680…+2pin,θ=-2.74680…+2pin

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cos(θ)=-12/13

cos (θ) = - \frac{12}{13}

θ = 2.74680 \dots + 2 πn, θ = - 2.74680 \dots + 2 πn

Degrees

θ = 157.38013 \dots^{\circ} + 36 0^{\circ} n, θ = - 157.38013 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{12}{13}

Apply trig inverse properties

cos (θ) = - \frac{12}{13}

General solutions for

cos (θ) = - \frac{12}{13}

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

θ = arccos (- \frac{12}{13}) + 2 πn, θ = - arccos (- \frac{12}{13}) + 2 πn

θ = arccos (- \frac{12}{13}) + 2 πn, θ = - arccos (- \frac{12}{13}) + 2 πn

Show solutions in decimal form

θ = 2.74680 \dots + 2 πn, θ = - 2.74680 \dots + 2 πn

- tan (x) = 0

3 sin (θ) + 1 = 1

csc^{2} (x) - 3 csc (x) - 4 = 0

3 cos (x) = 2

4 tan (θ) + 1 = 0

What is the general solution for cos(θ)=-12/13 ?
The general solution for cos(θ)=-12/13 is θ=2.74680…+2pin,θ=-2.74680…+2pin