What is the general solution for sin(x)= 7/(9.4) ?

The general solution for sin(x)= 7/(9.4) is x=0.84005…+2pin,x=pi-0.84005…+2pin

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sin(x)= 7/(9.4)

sin (x) = \frac{7}{9.4}

x = 0.84005 \dots + 2 πn, x = π - 0.84005 \dots + 2 πn

Degrees

x = 48.13169 \dots^{\circ} + 36 0^{\circ} n, x = 131.86830 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{7}{9.4}

Apply trig inverse properties

sin (x) = \frac{7}{9.4}

General solutions for

sin (x) = \frac{7}{9.4}

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

x = arcsin (\frac{7}{9.4}) + 2 πn, x = π - arcsin (\frac{7}{9.4}) + 2 πn

x = arcsin (\frac{7}{9.4}) + 2 πn, x = π - arcsin (\frac{7}{9.4}) + 2 πn

Show solutions in decimal form

x = 0.84005 \dots + 2 πn, x = π - 0.84005 \dots + 2 πn

cos (x) = \frac{6}{11}

3 cos^{2} (x) + 5 sin (x) - 1 = 0

2 cos^{2} (θ) = 7 cos (θ) - 3

sin (θ) = (\frac{173}{210})

\frac{3 tan ^{2} ( x ) - 5}{cos ( x ) + 1} = 0

What is the general solution for sin(x)= 7/(9.4) ?
The general solution for sin(x)= 7/(9.4) is x=0.84005…+2pin,x=pi-0.84005…+2pin