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

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

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sin(b)= 4/5

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

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

Solution steps

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

Apply trig inverse properties

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

Show solutions in decimal form

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

14 (1 - cos (θ)) = sin^{2} (θ)

3 tan (x) sin (x) - 3 tan (x) = 0

4 cos^{2} (x) + 43 cos (x) + 3 = 0

4 cos^{2} (β) - 4 cos (β) = 3

x, cot (x) = 1

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