What is the general solution for sin(x)= 3/8 ?

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

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sin(x)= 3/8

sin (x) = \frac{3}{8}

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

Degrees

x = 22.02431 \dots^{\circ} + 36 0^{\circ} n, x = 157.97568 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{3}{8}

Apply trig inverse properties

sin (x) = \frac{3}{8}

General solutions for

sin (x) = \frac{3}{8}

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

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

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

Show solutions in decimal form

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

x, tan (x) + cot (x) = \frac{1}{f}

sec^{2} (x) - 1 + tan (x) - 3 tan (x) = 3

3 sec (2 x) - 2 = 0

2 sin^{2} (θ) + 3 sin (θ) = 0

sin (x + \frac{π}{6}) + sin (x - \frac{π}{6}) = - \frac{3}{2}

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