Trigonometry Examples

$\tan (42 °) = \frac{79}{d}$

Step 1

Rewrite the equation as $\frac{79}{d} = \tan (42 °)$ .

$\frac{79}{d} = \tan (42 °)$

Step 2

Evaluate $\tan (42 °)$ .

$\frac{79}{d} = 0.90040404$

Step 3

Find the LCD of the terms in the equation.

Tap for more steps...

Step 3.1

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$d, 1$

Step 3.2

The LCM of one and any expression is the expression.

$d$

Step 4

Multiply each term in $\frac{79}{d} = 0.90040404$ by $d$ to eliminate the fractions.

Tap for more steps...

Step 4.1

Multiply each term in $\frac{79}{d} = 0.90040404$ by $d$ .

$\frac{79}{d} d = 0.90040404 d$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $d$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{79}{d} d = 0.90040404 d$

Step 4.2.1.2

Rewrite the expression.

$79 = 0.90040404 d$

Step 5

Solve the equation.

Tap for more steps...

Step 5.1

Rewrite the equation as $0.90040404 d = 79$ .

$0.90040404 d = 79$

Step 5.2

Divide each term in $0.90040404 d = 79$ by $0.90040404$ and simplify.

Tap for more steps...

Step 5.2.1

Divide each term in $0.90040404 d = 79$ by $0.90040404$ .

$\frac{0.90040404 d}{0.90040404} = \frac{79}{0.90040404}$

Step 5.2.2

Simplify the left side.

Tap for more steps...

Step 5.2.2.1

Cancel the common factor of $0.90040404$ .

Tap for more steps...

Step 5.2.2.1.1

Cancel the common factor.

$\frac{0.90040404 d}{0.90040404} = \frac{79}{0.90040404}$

Step 5.2.2.1.2

Divide $d$ by $1$ .

$d = \frac{79}{0.90040404}$

Step 5.2.3

Simplify the right side.

Tap for more steps...

Step 5.2.3.1

Divide $79$ by $0.90040404$ .

$d = 87.73838867$