What is the general solution for sin(a)= 1/4 ?

The general solution for sin(a)= 1/4 is a=0.25268…+2pin,a=pi-0.25268…+2pin

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sin(a)= 1/4

sin (a) = \frac{1}{4}

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

Solution steps

sin (a) = \frac{1}{4}

Apply trig inverse properties

a = arcsin (\frac{1}{4}) + 2 πn, a = π - arcsin (\frac{1}{4}) + 2 πn

Show solutions in decimal form

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

33 sec (θ) + 4 = - 2

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

3 sin (2 θ) = 2 cos (2 θ)

cos (x) + cos^{2} (x) = 0

cos (θ) = cos (1)

What is the general solution for sin(a)= 1/4 ?
The general solution for sin(a)= 1/4 is a=0.25268…+2pin,a=pi-0.25268…+2pin