What is the general solution for sin(θ)=(sqrt(6))/5 ?

The general solution for sin(θ)=(sqrt(6))/5 is θ=0.51197…+2pin,θ=pi-0.51197…+2pin

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sin(θ)=(sqrt(6))/5

sin (θ) = \frac{6}{5}

θ = 0.51197 \dots + 2 πn, θ = π - 0.51197 \dots + 2 πn

Degrees

θ = 29.33387 \dots^{\circ} + 36 0^{\circ} n, θ = 150.66612 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{6}{5}

Apply trig inverse properties

sin (θ) = \frac{6}{5}

General solutions for

sin (θ) = \frac{6}{5}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (\frac{6}{5}) + 2 πn, θ = π - arcsin (\frac{6}{5}) + 2 πn

θ = arcsin (\frac{6}{5}) + 2 πn, θ = π - arcsin (\frac{6}{5}) + 2 πn

Show solutions in decimal form

θ = 0.51197 \dots + 2 πn, θ = π - 0.51197 \dots + 2 πn

What is the general solution for sin(θ)=(sqrt(6))/5 ?
The general solution for sin(θ)=(sqrt(6))/5 is θ=0.51197…+2pin,θ=pi-0.51197…+2pin