What is the general solution for sin(A)= 4/5 ?

The general solution for sin(A)= 4/5 is A=0.92729…+2pin,A=pi-0.92729…+2pin

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sin(A)= 4/5

sin (A) = \frac{4}{5}

A = 0.92729 \dots + 2 πn, A = π - 0.92729 \dots + 2 πn

Degrees

A = 53.13010 \dots^{\circ} + 36 0^{\circ} n, A = 126.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (A) = \frac{4}{5}

Apply trig inverse properties

sin (A) = \frac{4}{5}

General solutions for

sin (A) = \frac{4}{5}

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

A = arcsin (\frac{4}{5}) + 2 πn, A = π - arcsin (\frac{4}{5}) + 2 πn

A = arcsin (\frac{4}{5}) + 2 πn, A = π - arcsin (\frac{4}{5}) + 2 πn

Show solutions in decimal form

A = 0.92729 \dots + 2 πn, A = π - 0.92729 \dots + 2 πn

3 tan^{2} (x) - 1 = 0, 0 \leq x \leq 2 π

sin (2 x) = 4 cos (x)

3 tan (2 x) - 1 = 0

cos (2 x + π) = 0

csc (θ) = - \frac{5}{4}

What is the general solution for sin(A)= 4/5 ?
The general solution for sin(A)= 4/5 is A=0.92729…+2pin,A=pi-0.92729…+2pin