What is the general solution for sin(A)= 2/3 ?

The general solution for sin(A)= 2/3 is A=0.72972…+2pin,A=pi-0.72972…+2pin

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sin(A)= 2/3

sin (A) = \frac{2}{3}

A = 0.72972 \dots + 2 πn, A = π - 0.72972 \dots + 2 πn

Degrees

A = 41.81031 \dots^{\circ} + 36 0^{\circ} n, A = 138.18968 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (A) = \frac{2}{3}

Apply trig inverse properties

sin (A) = \frac{2}{3}

General solutions for

sin (A) = \frac{2}{3}

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

A = arcsin (\frac{2}{3}) + 2 πn, A = π - arcsin (\frac{2}{3}) + 2 πn

A = arcsin (\frac{2}{3}) + 2 πn, A = π - arcsin (\frac{2}{3}) + 2 πn

Show solutions in decimal form

A = 0.72972 \dots + 2 πn, A = π - 0.72972 \dots + 2 πn

3 cos (2 x + 1) = 2

sin (t) = \frac{3}{7}, cos (t)

tan (x) = \frac{16}{12}

sin (4 x + 10) = sin (9 0^{\circ})

y, - \frac{1}{2} cot (y) = \frac{t ^{2}}{+ 2} + C

What is the general solution for sin(A)= 2/3 ?
The general solution for sin(A)= 2/3 is A=0.72972…+2pin,A=pi-0.72972…+2pin