What is the general solution for cos(θ)= 11/61 ?

The general solution for cos(θ)= 11/61 is θ=1.38947…+2pin,θ=2pi-1.38947…+2pin

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cos(θ)= 11/61

cos (θ) = \frac{11}{61}

θ = 1.38947 \dots + 2 πn, θ = 2 π - 1.38947 \dots + 2 πn

Degrees

θ = 79.61114 \dots^{\circ} + 36 0^{\circ} n, θ = 280.38885 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{11}{61}

Apply trig inverse properties

cos (θ) = \frac{11}{61}

General solutions for

cos (θ) = \frac{11}{61}

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

θ = arccos (\frac{11}{61}) + 2 πn, θ = 2 π - arccos (\frac{11}{61}) + 2 πn

θ = arccos (\frac{11}{61}) + 2 πn, θ = 2 π - arccos (\frac{11}{61}) + 2 πn

Show solutions in decimal form

θ = 1.38947 \dots + 2 πn, θ = 2 π - 1.38947 \dots + 2 πn

1 - cos^{2} (x) = 3 sin (x) - 2

cos (x) = \frac{4}{8}

\frac{sin ( 5 1 ^{\circ} )}{18} = \frac{sin ( x )}{22}

3 (1 + sin (θ)) = 3 (1 - sin (θ))

cos (2 x) = sin (7 0^{\circ} + x)

What is the general solution for cos(θ)= 11/61 ?
The general solution for cos(θ)= 11/61 is θ=1.38947…+2pin,θ=2pi-1.38947…+2pin