What is the general solution for 8sin(θ)-3=0 ?

The general solution for 8sin(θ)-3=0 is θ=0.38439…+2pin,θ=pi-0.38439…+2pin

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8sin(θ)-3=0

8 sin (θ) - 3 = 0

θ = 0.38439 \dots + 2 πn, θ = π - 0.38439 \dots + 2 πn

Solution steps

8 sin (θ) - 3 = 0

Move

3

to the right side

8 sin (θ) = 3

Divide both sides by

8

sin (θ) = \frac{3}{8}

Apply trig inverse properties

θ = arcsin (\frac{3}{8}) + 2 πn, θ = π - arcsin (\frac{3}{8}) + 2 πn

Show solutions in decimal form

θ = 0.38439 \dots + 2 πn, θ = π - 0.38439 \dots + 2 πn

cos^{2} (4 x) - sin^{2} (4 x) = cos (b)

y, sin (x + y) + sin (y + z) + sin (x + z) = 0

2 sin (x) - tan (x) = 0

2 sin^{2} (x) - 13 sin (x) + 6 = 0

2 tan (θ) + 3 = 0

What is the general solution for 8sin(θ)-3=0 ?
The general solution for 8sin(θ)-3=0 is θ=0.38439…+2pin,θ=pi-0.38439…+2pin