What is the general solution for cos(θ)=0.3 ?

The general solution for cos(θ)=0.3 is θ=1.26610…+2pin,θ=2pi-1.26610…+2pin

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cos(θ)=0.3

cos (θ) = 0.3

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) = 0.3

Apply trig inverse properties

cos (θ) = 0.3

General solutions for

cos (θ) = 0.3

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

θ = arccos (0.3) + 2 πn, θ = 2 π - arccos (0.3) + 2 πn

θ = arccos (0.3) + 2 πn, θ = 2 π - arccos (0.3) + 2 πn

Show solutions in decimal form

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

sin^{5} (x) = 4 sin (x)

tan (x) = 2 + 3

sin (a) = \frac{11}{61}

4 sin (2 θ) = 2

tan (x) = 1.3

What is the general solution for cos(θ)=0.3 ?
The general solution for cos(θ)=0.3 is θ=1.26610…+2pin,θ=2pi-1.26610…+2pin