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The lengths of the sides of a triangle are used to define six trigonometric ratios: sine,
cosine, tangent, cosecant, secant, and cotangent.
The sine of is the length of the opposite side of divided by the length of the hypotenuse.
=
The ratio depends on the size of the angle , so the trigonometric ratio is a function of .
The sin notation actually means sin(θ) where sin is the name of a function. The cosine
of is the length of the side beside the angle divided by the length of the hypotenuse.
=
The tangent of is the length of the side opposite the angle divided by the length of the side
opposite the angle
=
• Trigonometric Comparison Values of an Acute Angle
For example a corneracuteness of a right triangle. Then the six trigonometric ratios of
are as follows
