What is the general solution for sin(B)=(16sin(104))/(25) ?

The general solution for sin(B)=(16sin(104))/(25) is B=0.67000…+360n,B=180-0.67000…+360n

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sin(B)=(16sin(104))/(25)

sin (B) = \frac{16 sin ( 10 4 ^{\circ} )}{25}

B = 0.67000 \dots + 36 0^{\circ} n, B = 18 0^{\circ} - 0.67000 \dots + 36 0^{\circ} n

Radians

B = 0.67000 \dots + 2 πn, B = π - 0.67000 \dots + 2 πn

Solution steps

sin (B) = \frac{16 sin ( 10 4 ^{\circ} )}{25}

Apply trig inverse properties

sin (B) = \frac{16 sin ( 10 4 ^{\circ} )}{25}

General solutions for

sin (B) = \frac{16 sin ( 10 4 ^{\circ} )}{25}

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

B = arcsin (\frac{16 sin ( 10 4 ^{\circ} )}{25}) + 36 0^{\circ} n, B = 18 0^{\circ} - arcsin (\frac{16 sin ( 10 4 ^{\circ} )}{25}) + 36 0^{\circ} n

B = arcsin (\frac{16 sin ( 10 4 ^{\circ} )}{25}) + 36 0^{\circ} n, B = 18 0^{\circ} - arcsin (\frac{16 sin ( 10 4 ^{\circ} )}{25}) + 36 0^{\circ} n

Show solutions in decimal form

B = 0.67000 \dots + 36 0^{\circ} n, B = 18 0^{\circ} - 0.67000 \dots + 36 0^{\circ} n

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What is the general solution for sin(B)=(16sin(104))/(25) ?
The general solution for sin(B)=(16sin(104))/(25) is B=0.67000…+360n,B=180-0.67000…+360n