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

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

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sin(a)=0.4848

sin (a) = 0.4848

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

Degrees

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

Solution steps

sin (a) = 0.4848

Apply trig inverse properties

sin (a) = 0.4848

General solutions for

sin (a) = 0.4848

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

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

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

Show solutions in decimal form

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

sin^{2} (x) = 2 cos^{4} (x)

sin^{3} (x) + cos^{3} (x) = \frac{1 - 1}{2 sin ^{2} ( x )}

i, x sin^{2} (x) = cos^{2} (x)

c, sin^{2} (x) + 12 = 12 (sin (x) - cos (x))

c, sin (x) - 5 cos (x) = sin^{2} (x) + 5 cos^{2} (x)

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