What is the general solution for cos(θ)=(-139)/(160) ?

The general solution for cos(θ)=(-139)/(160) is θ=2.62346…+2pin,θ=-2.62346…+2pin

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cos(θ)=(-139)/(160)

cos (θ) = \frac{- 139}{160}

θ = 2.62346 \dots + 2 πn, θ = - 2.62346 \dots + 2 πn

Degrees

θ = 150.31370 \dots^{\circ} + 36 0^{\circ} n, θ = - 150.31370 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{- 139}{160}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

cos (θ) = - \frac{139}{160}

Apply trig inverse properties

cos (θ) = - \frac{139}{160}

General solutions for

cos (θ) = - \frac{139}{160}

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

θ = arccos (- \frac{139}{160}) + 2 πn, θ = - arccos (- \frac{139}{160}) + 2 πn

θ = arccos (- \frac{139}{160}) + 2 πn, θ = - arccos (- \frac{139}{160}) + 2 πn

Show solutions in decimal form

θ = 2.62346 \dots + 2 πn, θ = - 2.62346 \dots + 2 πn

sin (4 x) = \frac{2}{2}

3 cos (x) = 6

200.4 = 200 + sin (\frac{x}{240})

12 sin^{2} (x) + 8 sin (x) + 1 = 0

3 \cdot tan (x) + 1 = 0, x, 0 \leq x \leq 2 \cdot π

What is the general solution for cos(θ)=(-139)/(160) ?
The general solution for cos(θ)=(-139)/(160) is θ=2.62346…+2pin,θ=-2.62346…+2pin