What is the general solution for 0.47*0.2=10*9.8sin(x) ?

The general solution for 0.47*0.2=10*9.8sin(x) is x=0.00095…+2pin,x=pi-0.00095…+2pin

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0.470.2=109.8sin(x)

0.47 \cdot 0.2 = 10 \cdot 9.8 sin (x)

x = 0.00095 \dots + 2 πn, x = π - 0.00095 \dots + 2 πn

Degrees

x = 0.05495 \dots^{\circ} + 36 0^{\circ} n, x = 179.94504 \dots^{\circ} + 36 0^{\circ} n

Solution steps

0.47 \cdot 0.2 = 10 \cdot 9.8 sin (x)

Switch sides

10 \cdot 9.8 sin (x) = 0.47 \cdot 0.2

Multiply the numbers:

0.47 \cdot 0.2 = 0.094

10 \cdot 9.8 sin (x) = 0.094

Divide both sides by

98

10 \cdot 9.8 sin (x) = 0.094

Divide both sides by

98

\frac{10 \cdot 9.8 sin ( x )}{98} = \frac{0.094}{98}

Simplify

sin (x) = 0.00095 \dots

sin (x) = 0.00095 \dots

Apply trig inverse properties

sin (x) = 0.00095 \dots

General solutions for

sin (x) = 0.00095 \dots

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

x = arcsin (0.00095 \dots) + 2 πn, x = π - arcsin (0.00095 \dots) + 2 πn

x = arcsin (0.00095 \dots) + 2 πn, x = π - arcsin (0.00095 \dots) + 2 πn

Show solutions in decimal form

x = 0.00095 \dots + 2 πn, x = π - 0.00095 \dots + 2 πn

5 sin (\frac{x}{2}) + 5 cos (x) = 0

sin^{2} (x) = \frac{1}{2}

3 tan^{2} (θ) + 5 tan (θ) = 2

cos^{2} (x) + 4 cos (x) = - 3

tan (θ) = \frac{11}{9}

What is the general solution for 0.47*0.2=10*9.8sin(x) ?
The general solution for 0.47*0.2=10*9.8sin(x) is x=0.00095…+2pin,x=pi-0.00095…+2pin