What is the general solution for sin(a)=0.25 ?

The general solution for sin(a)=0.25 is a=0.25268…+2pin,a=pi-0.25268…+2pin

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sin(a)=0.25

sin (a) = 0.25

a = 0.25268 \dots + 2 πn, a = π - 0.25268 \dots + 2 πn

Degrees

a = 14.47751 \dots^{\circ} + 36 0^{\circ} n, a = 165.52248 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = 0.25

Apply trig inverse properties

sin (a) = 0.25

General solutions for

sin (a) = 0.25

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

a = arcsin (0.25) + 2 πn, a = π - arcsin (0.25) + 2 πn

a = arcsin (0.25) + 2 πn, a = π - arcsin (0.25) + 2 πn

Show solutions in decimal form

a = 0.25268 \dots + 2 πn, a = π - 0.25268 \dots + 2 πn

3 tan^{2} (x + 1 5^{\circ}) - 1 = 0

3 sin^{4} (x) + cos^{4} (x) = 1

sec (3 x) = 5

3 sin^{2} (x) + 2 sin (x) cos^{2} (\frac{x}{2}) - sin (x) = 0

3 tan^{2} (y) = 5 sec (y) - 1

What is the general solution for sin(a)=0.25 ?
The general solution for sin(a)=0.25 is a=0.25268…+2pin,a=pi-0.25268…+2pin