What is the general solution for sin(B)= 3/10 ?

The general solution for sin(B)= 3/10 is B=0.30469…+2pin,B=pi-0.30469…+2pin

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sin(B)= 3/10

sin (B) = \frac{3}{10}

B = 0.30469 \dots + 2 πn, B = π - 0.30469 \dots + 2 πn

Degrees

B = 17.45760 \dots^{\circ} + 36 0^{\circ} n, B = 162.54239 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (B) = \frac{3}{10}

Apply trig inverse properties

sin (B) = \frac{3}{10}

General solutions for

sin (B) = \frac{3}{10}

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

B = arcsin (\frac{3}{10}) + 2 πn, B = π - arcsin (\frac{3}{10}) + 2 πn

B = arcsin (\frac{3}{10}) + 2 πn, B = π - arcsin (\frac{3}{10}) + 2 πn

Show solutions in decimal form

B = 0.30469 \dots + 2 πn, B = π - 0.30469 \dots + 2 πn

3 = 23 - 3 cot (x)

2 tan^{2} (θ) - tan (θ) = 3

3 cos (2 θ) - cos (θ) + 1 = 0

170 = \frac{9 0 ^{2}}{16} sin (x) cos (x)

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

What is the general solution for sin(B)= 3/10 ?
The general solution for sin(B)= 3/10 is B=0.30469…+2pin,B=pi-0.30469…+2pin