What is the general solution for sin(d)=0.8 ?

The general solution for sin(d)=0.8 is d=0.92729…+2pin,d=pi-0.92729…+2pin

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sin(d)=0.8

sin (d) = 0.8

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

Degrees

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

Solution steps

sin (d) = 0.8

Apply trig inverse properties

sin (d) = 0.8

General solutions for

sin (d) = 0.8

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

d = arcsin (0.8) + 2 πn, d = π - arcsin (0.8) + 2 πn

d = arcsin (0.8) + 2 πn, d = π - arcsin (0.8) + 2 πn

Show solutions in decimal form

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

csc (θ) = \frac{17}{8}

\frac{π}{3} cos (\frac{π x}{6}) = 0, x

cos (θ) = \frac{4}{3.92739}

sin (x) + sin (\frac{π}{2} - x) = 0

(- \frac{1}{4}) + cos^{2} (x) = 1

What is the general solution for sin(d)=0.8 ?
The general solution for sin(d)=0.8 is d=0.92729…+2pin,d=pi-0.92729…+2pin