Trigonometry Examples

$\cos (43) = \frac{8.7}{B C}$

Step 1

Evaluate $\cos (43)$ .

$0.7313537 = \frac{8.7}{B C}$

Step 2

Find the LCD of the terms in the equation.

Tap for more steps...

Step 2.1

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

$1, B C$

Step 2.2

The LCM of one and any expression is the expression.

$B C$

Step 3

Multiply each term in $0.7313537 = \frac{8.7}{B C}$ by $B C$ to eliminate the fractions.

Tap for more steps...

Step 3.1

Multiply each term in $0.7313537 = \frac{8.7}{B C}$ by $B C$ .

$0.7313537 (B C) = \frac{8.7}{B C} (B C)$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Remove parentheses.

$0.7313537 B C = \frac{8.7}{B C} (B C)$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Cancel the common factor of $B C$ .

Tap for more steps...

Step 3.3.1.1

Cancel the common factor.

$0.7313537 B C = \frac{8.7}{B C} (B C)$

Step 3.3.1.2

Rewrite the expression.

$0.7313537 B C = 8.7$

Step 4

Divide each term in $0.7313537 B C = 8.7$ by $0.7313537 C$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $0.7313537 B C = 8.7$ by $0.7313537 C$ .

$\frac{0.7313537 B C}{0.7313537 C} = \frac{8.7}{0.7313537 C}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $0.7313537$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{0.7313537 B C}{0.7313537 C} = \frac{8.7}{0.7313537 C}$

Step 4.2.1.2

Rewrite the expression.

$\frac{B C}{C} = \frac{8.7}{0.7313537 C}$

Step 4.2.2

Cancel the common factor of $C$ .

Tap for more steps...

Step 4.2.2.1

Cancel the common factor.

$\frac{B C}{C} = \frac{8.7}{0.7313537 C}$

Step 4.2.2.2

Divide $B$ by $1$ .

$B = \frac{8.7}{0.7313537 C}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Factor $8.7$ out of $8.7$ .

$B = \frac{8.7 (1)}{0.7313537 C}$

Step 4.3.2

Factor $0.7313537$ out of $0.7313537 C$ .

$B = \frac{8.7 (1)}{0.7313537 (C)}$

Step 4.3.3

Separate fractions.

$B = \frac{8.7}{0.7313537} \cdot \frac{1}{C}$

Step 4.3.4

Divide $8.7$ by $0.7313537$ .

$B = 11.89574891 \frac{1}{C}$

Step 4.3.5

Combine $11.89574891$ and $\frac{1}{C}$ .

$B = \frac{11.89574891}{C}$