What is the general solution for sin(b)=0.7245 ?

The general solution for sin(b)=0.7245 is b=0.81030…+2pin,b=pi-0.81030…+2pin

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sin(b)=0.7245

sin (b) = 0.7245

b = 0.81030 \dots + 2 πn, b = π - 0.81030 \dots + 2 πn

Degrees

b = 46.42726 \dots^{\circ} + 36 0^{\circ} n, b = 133.57273 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (b) = 0.7245

Apply trig inverse properties

sin (b) = 0.7245

General solutions for

sin (b) = 0.7245

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

b = arcsin (0.7245) + 2 πn, b = π - arcsin (0.7245) + 2 πn

b = arcsin (0.7245) + 2 πn, b = π - arcsin (0.7245) + 2 πn

Show solutions in decimal form

b = 0.81030 \dots + 2 πn, b = π - 0.81030 \dots + 2 πn

cos (x) = \frac{6}{61}

sin (a + 3 0^{\circ}) = - \frac{3}{2}

cos (2 a) = 1

cos (\frac{2}{3} x) = 0

sin (2 x) cos (2 x) = 2

What is the general solution for sin(b)=0.7245 ?
The general solution for sin(b)=0.7245 is b=0.81030…+2pin,b=pi-0.81030…+2pin