What is the general solution for sin(A)=0.5 ?

The general solution for sin(A)=0.5 is A= pi/6+2pin,A=(5pi)/6+2pin

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sin(A)=0.5

sin (A) = 0.5

A = \frac{π}{6} + 2 πn, A = \frac{5 π}{6} + 2 πn

Degrees

A = 3 0^{\circ} + 36 0^{\circ} n, A = 15 0^{\circ} + 36 0^{\circ} n

Solution steps

sin (A) = 0.5

General solutions for

sin (A) = 0.5

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

A = \frac{π}{6} + 2 πn, A = \frac{5 π}{6} + 2 πn

A = \frac{π}{6} + 2 πn, A = \frac{5 π}{6} + 2 πn

cos (θ) = tan (θ)

tan (\frac{π}{4} + x) = \frac{1 - tan ( x )}{1 + tan ( x )}

cos (x) = \frac{45}{52}

x, cos (2 x) = \frac{m - 1}{m + 1}

6 tan^{2} (x) + 8 = 10

What is the general solution for sin(A)=0.5 ?
The general solution for sin(A)=0.5 is A= pi/6+2pin,A=(5pi)/6+2pin