What is the general solution for cos(θ)=-7/8 ?

The general solution for cos(θ)=-7/8 is θ=2.63623…+2pin,θ=-2.63623…+2pin

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cos(θ)=-7/8

cos (θ) = - \frac{7}{8}

θ = 2.63623 \dots + 2 πn, θ = - 2.63623 \dots + 2 πn

Degrees

θ = 151.04497 \dots^{\circ} + 36 0^{\circ} n, θ = - 151.04497 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{7}{8}

Apply trig inverse properties

cos (θ) = - \frac{7}{8}

General solutions for

cos (θ) = - \frac{7}{8}

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

θ = arccos (- \frac{7}{8}) + 2 πn, θ = - arccos (- \frac{7}{8}) + 2 πn

θ = arccos (- \frac{7}{8}) + 2 πn, θ = - arccos (- \frac{7}{8}) + 2 πn

Show solutions in decimal form

θ = 2.63623 \dots + 2 πn, θ = - 2.63623 \dots + 2 πn

x, y = 3 cos (x)

1 + cos (2 x) = - 3 sin (x)

tan (θ) tan (2 θ) = 1

csc (x) - sin (x) = cot (x) \cdot csc (x)

sin (x) = \frac{4}{3}

What is the general solution for cos(θ)=-7/8 ?
The general solution for cos(θ)=-7/8 is θ=2.63623…+2pin,θ=-2.63623…+2pin