What is the general solution for cos(θ)=-3/10 ?

The general solution for cos(θ)=-3/10 is θ=1.87548…+2pin,θ=-1.87548…+2pin

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cos(θ)=-3/10

cos (θ) = - \frac{3}{10}

θ = 1.87548 \dots + 2 πn, θ = - 1.87548 \dots + 2 πn

Degrees

θ = 107.45760 \dots^{\circ} + 36 0^{\circ} n, θ = - 107.45760 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{3}{10}

Apply trig inverse properties

cos (θ) = - \frac{3}{10}

General solutions for

cos (θ) = - \frac{3}{10}

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

θ = arccos (- \frac{3}{10}) + 2 πn, θ = - arccos (- \frac{3}{10}) + 2 πn

θ = arccos (- \frac{3}{10}) + 2 πn, θ = - arccos (- \frac{3}{10}) + 2 πn

Show solutions in decimal form

θ = 1.87548 \dots + 2 πn, θ = - 1.87548 \dots + 2 πn

2 cos^{3} (x) = 0

50 sin (x) + 15 cos (x) = 40, 0 < x < π

x, arctan (\frac{y}{x}) = - arctan (\frac{x}{y})

sec^{2} (θ) + sec (θ) = 6

10 sin (x) cos (x) = 6 cos (x)

What is the general solution for cos(θ)=-3/10 ?
The general solution for cos(θ)=-3/10 is θ=1.87548…+2pin,θ=-1.87548…+2pin