What is the general solution for sin(x)=(4.2)/(9.5) ?

The general solution for sin(x)=(4.2)/(9.5) is x=0.45794…+2pin,x=pi-0.45794…+2pin

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sin(x)=(4.2)/(9.5)

sin (x) = \frac{4.2}{9.5}

x = 0.45794 \dots + 2 πn, x = π - 0.45794 \dots + 2 πn

Degrees

x = 26.23828 \dots^{\circ} + 36 0^{\circ} n, x = 153.76171 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{4.2}{9.5}

Apply trig inverse properties

sin (x) = \frac{4.2}{9.5}

General solutions for

sin (x) = \frac{4.2}{9.5}

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

x = arcsin (\frac{4.2}{9.5}) + 2 πn, x = π - arcsin (\frac{4.2}{9.5}) + 2 πn

x = arcsin (\frac{4.2}{9.5}) + 2 πn, x = π - arcsin (\frac{4.2}{9.5}) + 2 πn

Show solutions in decimal form

x = 0.45794 \dots + 2 πn, x = π - 0.45794 \dots + 2 πn

cos (x) = \frac{4.6}{8.6}

5 tan (x) + 5 tan^{2} (x) = 0

8 sec^{2} (x) - 8 sec (x) = 16

50 = 36 sin (\frac{2 π}{365} (t - 101)) + 14

sin (2 θ - \frac{π}{3}) = - \frac{1}{2}

What is the general solution for sin(x)=(4.2)/(9.5) ?
The general solution for sin(x)=(4.2)/(9.5) is x=0.45794…+2pin,x=pi-0.45794…+2pin