What is the general solution for sin(x)= 73/83 ?

The general solution for sin(x)= 73/83 is x=1.07484…+2pin,x=pi-1.07484…+2pin

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sin(x)= 73/83

sin (x) = \frac{73}{83}

x = 1.07484 \dots + 2 πn, x = π - 1.07484 \dots + 2 πn

Degrees

x = 61.58428 \dots^{\circ} + 36 0^{\circ} n, x = 118.41571 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{73}{83}

Apply trig inverse properties

sin (x) = \frac{73}{83}

General solutions for

sin (x) = \frac{73}{83}

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

x = arcsin (\frac{73}{83}) + 2 πn, x = π - arcsin (\frac{73}{83}) + 2 πn

x = arcsin (\frac{73}{83}) + 2 πn, x = π - arcsin (\frac{73}{83}) + 2 πn

Show solutions in decimal form

x = 1.07484 \dots + 2 πn, x = π - 1.07484 \dots + 2 πn

What is the general solution for sin(x)= 73/83 ?
The general solution for sin(x)= 73/83 is x=1.07484…+2pin,x=pi-1.07484…+2pin