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

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

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sin(a)=0.7245

sin (a) = 0.7245

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

Degrees

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

Solution steps

sin (a) = 0.7245

Apply trig inverse properties

sin (a) = 0.7245

General solutions for

sin (a) = 0.7245

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

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

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

Show solutions in decimal form

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

3 tan (\frac{x}{4}) + 5 = 4

2 sin (3 x) = 1

sin (4 x) = cos (2 x)

cot^{2} (θ) - cot (θ) = 0

5 cos (2 θ) = - 15 cos (θ) - 10

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