Trigonometry Examples

$\cos (x) = \frac{36}{20}$

Step 1

Cancel the common factor of $36$ and $20$ .

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Step 1.1

Factor $4$ out of $36$ .

$\cos (x) = \frac{4 (9)}{20}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $20$ .

$\cos (x) = \frac{4 \cdot 9}{4 \cdot 5}$

Step 1.2.2

Cancel the common factor.

$\cos (x) = \frac{4 \cdot 9}{4 \cdot 5}$

Step 1.2.3

Rewrite the expression.

$\cos (x) = \frac{9}{5}$

Step 2

The range of cosine is $- 1 \leq y \leq 1$ . Since $\frac{9}{5}$ does not fall in this range, there is no solution.

No solution