What is the general solution for cos(θ)= 6/10 ?

The general solution for cos(θ)= 6/10 is θ=0.92729…+2pin,θ=2pi-0.92729…+2pin

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cos(θ)= 6/10

cos (θ) = \frac{6}{10}

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

Solution steps

cos (θ) = \frac{6}{10}

Cancel the common factor:

2

cos (θ) = \frac{3}{5}

Apply trig inverse properties

θ = arccos (\frac{3}{5}) + 2 πn, θ = 2 π - arccos (\frac{3}{5}) + 2 πn

Show solutions in decimal form

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

cos (x) \cdot tan (x) - cos (x) = 0

tan (θ) = 653

- 5 sin^{2} (x) - 4 cos (x) = - 4

tan^{2} (θ) = \frac{1}{3}, 0 \leq θ \leq 2 π

4 sin (2 x) = 23

What is the general solution for cos(θ)= 6/10 ?
The general solution for cos(θ)= 6/10 is θ=0.92729…+2pin,θ=2pi-0.92729…+2pin