Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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1)
The point P is at and the angle is .
Since , the angle made by OP with negative x axis is .
Construct a triangle as shown below.
From the above figure, notice that the triangle is a right angled triangle.
Evaluate the hypotenuse of the triangle using Pythagorean Theorem as follows.
Thus, the hypotenuse of the triangle is 13.
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