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 the fraction rule:

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

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

tan^{2} (x) - tan (x) = 2

2 sin^{2} (\frac{x}{2}) - cos (\frac{x}{2}) = 0

cos (\frac{π}{4} - x) = \frac{12}{13}

x, y = f cos (x)

3 cot (2 x) = - 1, 0 \leq x \leq π

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