Chapter 5.2, Problem 10E

To determine

To find: The values of the sine, cosine and tangent for each $\angle A$ .

Answer to Problem 10E

  $\sin A=0.6,\cos A=0.8,\tan A=0.75$

Explanation of Solution

Given information: Triangle:

Calculation:

  $\begin{array}{l}A{B}^2=C{B}^2+A{C}^2={80}^2+{60}^2=10000\\ AB=\sqrt{10000}=100\end{array}$

  $\begin{array}{l}\sin A=\frac{CB}{AB}=\frac{60}{100}=0.6\\ \cos A=\frac{AC}{AB}=\frac{80}{100}=0.8\\ \tan A=\frac{CB}{AC}=\frac{60}{80}=\frac{3}{4}=0.75\end{array}$

Thus,

  $\sin A=0.6,\cos A=0.8,\tan A=0.75$