Trigonometry Examples

$d = \frac{350}{\tan (51)}$

Step 1

Separate fractions.

$d = \frac{350}{1} \cdot \frac{1}{\tan (51)}$

Step 2

Rewrite $\tan (51)$ in terms of sines and cosines.

$d = \frac{350}{1} \cdot \frac{1}{\frac{\sin (51)}{\cos (51)}}$

Step 3

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (51)}{\cos (51)}$ .

$d = \frac{350}{1} \cdot \frac{\cos (51)}{\sin (51)}$

Step 4

Convert from $\frac{\cos (51)}{\sin (51)}$ to $\cot (51)$ .

$d = \frac{350}{1} \cot (51)$

Step 5

Divide $350$ by $1$ .

$d = 350 \cot (51)$

Step 6

Evaluate $\cot (51)$ .

$d = 350 \cdot 0.80978403$

Step 7

Multiply $350$ by $0.80978403$ .

$d = 283.42441161$