What is the general solution for sin(b)=0.4848 ?

The general solution for sin(b)=0.4848 is b=0.50613…+2pin,b=pi-0.50613…+2pin

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sin(b)=0.4848

sin (b) = 0.4848

b = 0.50613 \dots + 2 πn, b = π - 0.50613 \dots + 2 πn

Degrees

b = 28.99936 \dots^{\circ} + 36 0^{\circ} n, b = 151.00063 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (b) = 0.4848

Apply trig inverse properties

sin (b) = 0.4848

General solutions for

sin (b) = 0.4848

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

b = arcsin (0.4848) + 2 πn, b = π - arcsin (0.4848) + 2 πn

b = arcsin (0.4848) + 2 πn, b = π - arcsin (0.4848) + 2 πn

Show solutions in decimal form

b = 0.50613 \dots + 2 πn, b = π - 0.50613 \dots + 2 πn

sin (2 θ) + 2 cos (θ) = 0

cos (θ) = \frac{13}{12}

3 tan^{2} (θ) + 3 tan (θ) = 0

cos (x) = sin^{2} (x) - 1

sin (x) cot (x) - sin (x) = 0

What is the general solution for sin(b)=0.4848 ?
The general solution for sin(b)=0.4848 is b=0.50613…+2pin,b=pi-0.50613…+2pin