Question

Find the trigonometric ratios (NOT the angle) functions. Write fractions in lowestterms.34)a = 12, b = 16. Find sin A and tan A

Answer 1

Solution

RECALL: Pythagoras

$\begin{gathered} c^2=b^2+a^2 \\ c=\sqrt{16^2+12^2} \\ c=\sqrt{400} \\ c=20 \end{gathered}$

Also Recall:

SOHCAHTOA

$SinA=\frac{12}{20}=\frac{3}{5}$$Tan\text{ A=}\frac{12}{16}=\frac{3}{4}$