Trigonometry Examples

$x \cos (78) = 5$

Step 1

Divide each term in $x \cos (78) = 5$ by $\cos (78)$ .

$\frac{x \cos (78)}{\cos (78)} = \frac{5}{\cos (78)}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $\cos (78)$ .

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Step 2.1.1

Cancel the common factor.

$\frac{x \cos (78)}{\cos (78)} = \frac{5}{\cos (78)}$

Step 2.1.2

Divide $x$ by $1$ .

$x = \frac{5}{\cos (78)}$

Step 3

Simplify the right side.

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Step 3.1

Separate fractions.

$x = \frac{5}{1} \cdot \frac{1}{\cos (78)}$

Step 3.2

Convert from $\frac{1}{\cos (78)}$ to $\sec (78)$ .

$x = \frac{5}{1} \sec (78)$

Step 3.3

Divide $5$ by $1$ .

$x = 5 \sec (78)$

Step 3.4

Evaluate $\sec (78)$ .

$x = 5 \cdot 4.80973434$

Step 3.5

Multiply $5$ by $4.80973434$ .

$x = 24.04867172$