What is the general solution for sin(b)=0.823 ?

The general solution for sin(b)=0.823 is b=0.96667…+2pin,b=pi-0.96667…+2pin

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sin(b)=0.823

sin (b) = 0.823

b = 0.96667 \dots + 2 πn, b = π - 0.96667 \dots + 2 πn

Solution steps

sin (b) = 0.823

Apply trig inverse properties

b = arcsin (0.823) + 2 πn, b = π - arcsin (0.823) + 2 πn

Show solutions in decimal form

b = 0.96667 \dots + 2 πn, b = π - 0.96667 \dots + 2 πn

\frac{29}{sin ( 5 0 ^{\circ} )} = \frac{37}{sin ( x )}

arccos (θ) = 1.6

sin (9 0^{\circ} - θ) = 0.5745

sin (x) = \frac{60}{61}

a, tan (a) = 3

What is the general solution for sin(b)=0.823 ?
The general solution for sin(b)=0.823 is b=0.96667…+2pin,b=pi-0.96667…+2pin