What is the general solution for cos(θ)= 2/11 ?

The general solution for cos(θ)= 2/11 is θ=1.38796…+2pin,θ=2pi-1.38796…+2pin

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cos(θ)= 2/11

cos (θ) = \frac{2}{11}

θ = 1.38796 \dots + 2 πn, θ = 2 π - 1.38796 \dots + 2 πn

Degrees

θ = 79.52431 \dots^{\circ} + 36 0^{\circ} n, θ = 280.47568 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{2}{11}

Apply trig inverse properties

cos (θ) = \frac{2}{11}

General solutions for

cos (θ) = \frac{2}{11}

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

θ = arccos (\frac{2}{11}) + 2 πn, θ = 2 π - arccos (\frac{2}{11}) + 2 πn

θ = arccos (\frac{2}{11}) + 2 πn, θ = 2 π - arccos (\frac{2}{11}) + 2 πn

Show solutions in decimal form

θ = 1.38796 \dots + 2 πn, θ = 2 π - 1.38796 \dots + 2 πn

3 cos (x) + 5 = 7, 0 \leq x \leq 2 π

9 sin (\frac{x}{2}) + 9 cos (x) = 0

- 5 cos (x) + 5 sin (x) = \frac{5 2}{2}

10 sin (θ) = 4 cos^{2} (θ) + 2

cos (x) = - \frac{1}{3}

What is the general solution for cos(θ)= 2/11 ?
The general solution for cos(θ)= 2/11 is θ=1.38796…+2pin,θ=2pi-1.38796…+2pin