What is the general solution for 4sin(θ)-1=0 ?

The general solution for 4sin(θ)-1=0 is θ=0.25268…+2pin,θ=pi-0.25268…+2pin

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4sin(θ)-1=0

4 sin (θ) - 1 = 0

θ = 0.25268 \dots + 2 πn, θ = π - 0.25268 \dots + 2 πn

Solution steps

4 sin (θ) - 1 = 0

Move

1

to the right side

4 sin (θ) = 1

Divide both sides by

4

sin (θ) = \frac{1}{4}

Apply trig inverse properties

θ = arcsin (\frac{1}{4}) + 2 πn, θ = π - arcsin (\frac{1}{4}) + 2 πn

Show solutions in decimal form

θ = 0.25268 \dots + 2 πn, θ = π - 0.25268 \dots + 2 πn

2 sin (x) 4 + 3 = 0

arctan (\frac{y}{- 1}) = 13 5^{\circ}

2 cos^{2} (x) + 3 cos (x) - 2 = 0, - π \leq x \leq π

- 5 cos (x) + 8.6602500000000 \dots sin (x) = - 5

sin (2 π \cdot 1.5 x) = 0

What is the general solution for 4sin(θ)-1=0 ?
The general solution for 4sin(θ)-1=0 is θ=0.25268…+2pin,θ=pi-0.25268…+2pin