Trigonometry Examples

$10.61 \sin (2 x) = 100$

Step 1

Divide each term in $10.61 \sin (2 x) = 100$ by $10.61$ and simplify.

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Step 1.1

Divide each term in $10.61 \sin (2 x) = 100$ by $10.61$ .

$\frac{10.61 \sin (2 x)}{10.61} = \frac{100}{10.61}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $10.61$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{10.61 \sin (2 x)}{10.61} = \frac{100}{10.61}$

Step 1.2.1.2

Divide $\sin (2 x)$ by $1$ .

$\sin (2 x) = \frac{100}{10.61}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $100$ by $10.61$ .

$\sin (2 x) = 9.42507068$

Step 2

The range of sine is $- 1 \leq y \leq 1$ . Since $9.42507068$ does not fall in this range, there is no solution.

No solution