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

Solution steps

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

Apply trig inverse properties

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

y, x = arctan (y)

cos (θ) - tan (θ) cos (θ) = 0

tan (x - \frac{π}{2}) + 1 = 0

\frac{sin ( x )}{1 - cos ( x )} = csc (x)

2 sin^{2} (θ) + 13 sin (θ) + 6 = 0

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