# Chapter 4 - Section 4.3 - Right Triangle Trigonometry - Exercise Set - Page 560: 2

sin θ = $\frac{3}{5}$ cos θ = $\frac{4}{5}$ tan θ =$\frac{3}{4}$ csc θ = $\frac{5}{3}$ sec θ = $\frac{5}{4}$ cot θ = $\frac{4}{3}$

#### Work Step by Step

$a^{2}$ + $b^{2}$ = $c^{2}$ given a = 6, b= 8 $6^{2}$ + $8^{2}$ = $c^{2}$ $c^{2}$ = 36 + 64 $c^{2}$ = 100 c = $\sqrt {100}$ = 10 sin θ = $\frac{opposite}{hypotenuse}$ = $\frac{6}{10}$ sin θ = $\frac{3}{5}$ cos θ = $\frac{adjacent}{hypotenuse}$ = $\frac{8}{10}$ cos θ = $\frac{4}{5}$ tan θ = $\frac{opposite}{adjacent}$ = $\frac{6}{8}$ tan θ = $\frac{3}{4}$ csc θ = $\frac{1}{sin θ}$ = $\frac{5}{3}$ sec θ = $\frac{1}{cos θ}$ = $\frac{5}{4}$ cot θ = $\frac{1}{tan θ}$ = $\frac{4}{3}$

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