What is the general solution for sin(θ)=(sqrt(3))/4 ?

The general solution for sin(θ)=(sqrt(3))/4 is θ=0.44783…+2pin,θ=pi-0.44783…+2pin

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sin(θ)=(sqrt(3))/4

sin (θ) = \frac{3}{4}

θ = 0.44783 \dots + 2 πn, θ = π - 0.44783 \dots + 2 πn

Solution steps

sin (θ) = \frac{3}{4}

Apply trig inverse properties

θ = arcsin (\frac{3}{4}) + 2 πn, θ = π - arcsin (\frac{3}{4}) + 2 πn

Show solutions in decimal form

θ = 0.44783 \dots + 2 πn, θ = π - 0.44783 \dots + 2 πn

2 cos (2 θ) - 1 = 0, 0 \leq θ \leq 2 π

6 cos (x) + 6 sin (x) tan (x) = 12, 0 \leq x \leq 2 π

6 ∣ tan (x) ∣ = 6

cos^{2} (x) + 3 sin^{2} (x) = 1

7 sin (2 x) = - 2

What is the general solution for sin(θ)=(sqrt(3))/4 ?
The general solution for sin(θ)=(sqrt(3))/4 is θ=0.44783…+2pin,θ=pi-0.44783…+2pin