What is the general solution for sin(x)=(4.5)/(11.75) ?

The general solution for sin(x)=(4.5)/(11.75) is x=0.39301…+2pin,x=pi-0.39301…+2pin

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sin(x)=(4.5)/(11.75)

sin (x) = \frac{4.5}{11.75}

x = 0.39301 \dots + 2 πn, x = π - 0.39301 \dots + 2 πn

Degrees

x = 22.51831 \dots^{\circ} + 36 0^{\circ} n, x = 157.48168 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{4.5}{11.75}

Apply trig inverse properties

sin (x) = \frac{4.5}{11.75}

General solutions for

sin (x) = \frac{4.5}{11.75}

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

x = arcsin (\frac{4.5}{11.75}) + 2 πn, x = π - arcsin (\frac{4.5}{11.75}) + 2 πn

x = arcsin (\frac{4.5}{11.75}) + 2 πn, x = π - arcsin (\frac{4.5}{11.75}) + 2 πn

Show solutions in decimal form

x = 0.39301 \dots + 2 πn, x = π - 0.39301 \dots + 2 πn

What is the general solution for sin(x)=(4.5)/(11.75) ?
The general solution for sin(x)=(4.5)/(11.75) is x=0.39301…+2pin,x=pi-0.39301…+2pin