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

The general solution for 3=4sin(θ) is θ=0.84806…+2pin,θ=pi-0.84806…+2pin

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3=4sin(θ)

3 = 4 sin (θ)

θ = 0.84806 \dots + 2 πn, θ = π - 0.84806 \dots + 2 πn

Solution steps

3 = 4 sin (θ)

Switch sides

4 sin (θ) = 3

Divide both sides by

4

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 = 0.84806 \dots + 2 πn, θ = π - 0.84806 \dots + 2 πn

- 6 sin (x) = 0

9 csc^{2} (x) + 4.5 cot (x) = 45

7 tan (x) = 8 sin (x)

2 cos (3 x) - 2 = 0

2 cos^{2} (x) - sin (x) = 0

What is the general solution for 3=4sin(θ) ?
The general solution for 3=4sin(θ) is θ=0.84806…+2pin,θ=pi-0.84806…+2pin