What is the general solution for sin(x)=(4.2)/(9.9) ?

The general solution for sin(x)=(4.2)/(9.9) is x=0.4381251284+2pin,x=pi-0.4381251284+2pin

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sin(x)=(4.2)/(9.9)

sin (x) = \frac{4.2}{9.9}

x = 0.4381251284 + 2 πn, x = π - 0.4381251284 + 2 πn

Degrees

x = 25.10272 \dots^{\circ} + 36 0^{\circ} n, x = 154.89727 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{4.2}{9.9}

Apply trig inverse properties

sin (x) = \frac{4.2}{9.9}

General solutions for

sin (x) = \frac{4.2}{9.9}

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

x = arcsin (\frac{4.2}{9.9}) + 2 πn, x = π - arcsin (\frac{4.2}{9.9}) + 2 πn

x = arcsin (\frac{4.2}{9.9}) + 2 πn, x = π - arcsin (\frac{4.2}{9.9}) + 2 πn

Show solutions in decimal form

x = 0.4381251284 + 2 πn, x = π - 0.4381251284 + 2 πn

sin (x) - 0.5 cos (x) = 0.1

cot (θ) = 0.8701

cos (x) = - 1 + \frac{576}{625}

2 sin (θ) cos (θ) - sin (θ) = sin (θ) cos (θ)

3 - \frac{1}{2} \cdot tan (θ) = \frac{6 + 3}{2}

What is the general solution for sin(x)=(4.2)/(9.9) ?
The general solution for sin(x)=(4.2)/(9.9) is x=0.4381251284+2pin,x=pi-0.4381251284+2pin