What is the general solution for sin(B)= 1/4 ?

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

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sin(B)= 1/4

sin (B) = \frac{1}{4}

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

Degrees

B = 14.47751 \dots^{\circ} + 36 0^{\circ} n, B = 165.52248 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (B) = \frac{1}{4}

Apply trig inverse properties

sin (B) = \frac{1}{4}

General solutions for

sin (B) = \frac{1}{4}

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

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

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

Show solutions in decimal form

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

55 sin (θ) - 20 - 20 cos (θ) = 0

y, sin (y) = 0

8 sin^{2} (x) = 1

tan^{4} (x) = 1

5 sin (x) cos (x) = cos (x)

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