Sine (Geometric Definition)

Colorized Definition

\newcommand{\sinefunction}{\color{c1}}
\newcommand{\thetacolor}{\color{c2}}
\newcommand{\opposite}{\color{c3}}
\newcommand{\hypotenuse}{\color{c4}}

$$
\sinefunction \sin(\thetacolor{\theta} \sinefunction) = \hypotenuse \frac{\opposite \textrm{opposite}}{\textrm{hypotenuse}}
$$
 
\plain In a right triangle, pick \thetacolor an angle:
\\
\sinefunction sine \plain is the \opposite opposite side
\plain as a 
\\ 
\hypotenuse percent of the largest side

Read More

• How to learn Trigonometry Intuitively (opens new window)
• Intuitive Understanding of Sine Waves (opens new window)