What is the general solution for cos(θ)= 3/10 ?

The general solution for cos(θ)= 3/10 is θ=1.26610…+2pin,θ=2pi-1.26610…+2pin

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cos(θ)= 3/10

cos (θ) = \frac{3}{10}

θ = 1.26610 \dots + 2 πn, θ = 2 π - 1.26610 \dots + 2 πn

Degrees

θ = 72.54239 \dots^{\circ} + 36 0^{\circ} n, θ = 287.45760 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{3}{10}

Apply trig inverse properties

cos (θ) = \frac{3}{10}

General solutions for

cos (θ) = \frac{3}{10}

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

θ = arccos (\frac{3}{10}) + 2 πn, θ = 2 π - arccos (\frac{3}{10}) + 2 πn

θ = arccos (\frac{3}{10}) + 2 πn, θ = 2 π - arccos (\frac{3}{10}) + 2 πn

Show solutions in decimal form

θ = 1.26610 \dots + 2 πn, θ = 2 π - 1.26610 \dots + 2 πn

27 tan^{2} (x) - 9 = 0

tan (x) = \frac{8}{17}

sin (x - 9 0^{\circ}) = cos (x)

cos (x) = \frac{67}{77}

(sin (x) + cos (x))^{2} = \frac{1 + 2 sin ( x )}{sec ( x )}

What is the general solution for cos(θ)= 3/10 ?
The general solution for cos(θ)= 3/10 is θ=1.26610…+2pin,θ=2pi-1.26610…+2pin