What is the general solution for (0.5)(9.8)=(0.45)(9.8)sin(θ) ?

The general solution for (0.5)(9.8)=(0.45)(9.8)sin(θ) is No Solution for θ\in\mathbb{R}

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(0.5)(9.8)=(0.45)(9.8)sin(θ)

(0.5) (9.8) = (0.45) (9.8) sin (θ)

No Solution for θ \in R

Solution steps

(0.5) (9.8) = (0.45) (9.8) sin (θ)

Switch sides

0.45 \cdot 9.8 sin (θ) = 0.5 \cdot 9.8

Multiply the numbers:

0.5 \cdot 9.8 = 4.9

0.45 \cdot 9.8 sin (θ) = 4.9

Multiply both sides by

100

0.45 \cdot 9.8 sin (θ) = 4.9

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

2

digits to the right of the decimal point, therefore multiply by

100

0.45 \cdot 9.8 sin (θ) \cdot 100 = 4.9 \cdot 100

Refine

441 sin (θ) = 490

441 sin (θ) = 490

Divide both sides by

441

441 sin (θ) = 490

Divide both sides by

441

\frac{441 sin ( θ )}{441} = \frac{490}{441}

Simplify

sin (θ) = \frac{10}{9}

sin (θ) = \frac{10}{9}

- 1 \leq sin (x) \leq 1

No Solution for θ \in R

What is the general solution for (0.5)(9.8)=(0.45)(9.8)sin(θ) ?
The general solution for (0.5)(9.8)=(0.45)(9.8)sin(θ) is No Solution for θ\in\mathbb{R}