What is the general solution for cos(θ)= 60/61 ?

The general solution for cos(θ)= 60/61 is θ=0.18131…+2pin,θ=2pi-0.18131…+2pin

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cos(θ)= 60/61

cos (θ) = \frac{60}{61}

θ = 0.18131 \dots + 2 πn, θ = 2 π - 0.18131 \dots + 2 πn

Degrees

θ = 10.38885 \dots^{\circ} + 36 0^{\circ} n, θ = 349.61114 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{60}{61}

Apply trig inverse properties

cos (θ) = \frac{60}{61}

General solutions for

cos (θ) = \frac{60}{61}

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

θ = arccos (\frac{60}{61}) + 2 πn, θ = 2 π - arccos (\frac{60}{61}) + 2 πn

θ = arccos (\frac{60}{61}) + 2 πn, θ = 2 π - arccos (\frac{60}{61}) + 2 πn

Show solutions in decimal form

θ = 0.18131 \dots + 2 πn, θ = 2 π - 0.18131 \dots + 2 πn

cos (\frac{1}{2} x) = 0

\frac{4 cos ( θ ) - 1}{tan ( θ )} = 2 sin (θ)

- 2 sin^{2} (x) - cos (x) = - 1, 0^{\circ} \leq x < 36 0^{\circ}

cos^{2} (θ) - 3 cos (θ) + 2 = sin^{2} (θ)

sin (x) - cos^{2} (x) - 1 = 0

What is the general solution for cos(θ)= 60/61 ?
The general solution for cos(θ)= 60/61 is θ=0.18131…+2pin,θ=2pi-0.18131…+2pin