What is the general solution for sin(B)= 9/16 ?

The general solution for sin(B)= 9/16 is B=0.59740…+2pin,B=pi-0.59740…+2pin

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sin(B)= 9/16

sin (B) = \frac{9}{16}

B = 0.59740 \dots + 2 πn, B = π - 0.59740 \dots + 2 πn

Solution steps

sin (B) = \frac{9}{16}

Apply trig inverse properties

B = arcsin (\frac{9}{16}) + 2 πn, B = π - arcsin (\frac{9}{16}) + 2 πn

Show solutions in decimal form

B = 0.59740 \dots + 2 πn, B = π - 0.59740 \dots + 2 πn

4 5^{\circ} = 57. 7^{\circ} + arctan (\frac{3.5}{x}) - arctan (\frac{175}{x})

\frac{1}{2} - cos (\frac{x}{2}) = 0

tan (θ) = \frac{2 π}{3}

2 sin (5 x) = 1

cos (2 x) = - \frac{17}{81}

What is the general solution for sin(B)= 9/16 ?
The general solution for sin(B)= 9/16 is B=0.59740…+2pin,B=pi-0.59740…+2pin