What is the general solution for sin(a)= 11/61 ?

The general solution for sin(a)= 11/61 is a=0.18131…+2pin,a=pi-0.18131…+2pin

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sin(a)= 11/61

sin (a) = \frac{11}{61}

a = 0.18131 \dots + 2 πn, a = π - 0.18131 \dots + 2 πn

Degrees

a = 10.38885 \dots^{\circ} + 36 0^{\circ} n, a = 169.61114 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{11}{61}

Apply trig inverse properties

sin (a) = \frac{11}{61}

General solutions for

sin (a) = \frac{11}{61}

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

a = arcsin (\frac{11}{61}) + 2 πn, a = π - arcsin (\frac{11}{61}) + 2 πn

a = arcsin (\frac{11}{61}) + 2 πn, a = π - arcsin (\frac{11}{61}) + 2 πn

Show solutions in decimal form

a = 0.18131 \dots + 2 πn, a = π - 0.18131 \dots + 2 πn

4 sin (2 θ) = 2

tan (x) = 1.3

sin (x) = 60

tan (x) = \frac{1}{12}

tan (x) = \frac{8}{5}

What is the general solution for sin(a)= 11/61 ?
The general solution for sin(a)= 11/61 is a=0.18131…+2pin,a=pi-0.18131…+2pin