What is the general solution for sin(θ)=(2sqrt(13))/(13) ?

The general solution for sin(θ)=(2sqrt(13))/(13) is θ=0.58800…+2pin,θ=pi-0.58800…+2pin

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sin(θ)=(2sqrt(13))/(13)

sin (θ) = \frac{2 13}{13}

θ = 0.58800 \dots + 2 πn, θ = π - 0.58800 \dots + 2 πn

Solution steps

sin (θ) = \frac{2 13}{13}

Apply trig inverse properties

θ = arcsin (\frac{2 13}{13}) + 2 πn, θ = π - arcsin (\frac{2 13}{13}) + 2 πn

Show solutions in decimal form

θ = 0.58800 \dots + 2 πn, θ = π - 0.58800 \dots + 2 πn

2 tan^{2} (θ) + sec (θ) = 1

0 = 2 cos (3 x)

cos (t) = sin (t)

2 cos (3 x) = 0

16 cos^{2} (θ) - 2 = 0

What is the general solution for sin(θ)=(2sqrt(13))/(13) ?
The general solution for sin(θ)=(2sqrt(13))/(13) is θ=0.58800…+2pin,θ=pi-0.58800…+2pin