TRIGONOMETRIC FUNCTIONS OF A RIGHT TRIANGLE

Trigonometric Functions (Right Triangle)

         Trigonometry is defined as " the measurement of triangles". Right triangle where one angle measures 90 degrees was one of the fundamentals.  From sides and angles the given the relationships applies. Plane trigonometry focuses more on any plane angles and triangles as well. In order to know the unknown sides and unknown angles of a given right triangle as a case, we should know the relationships of each. Relationships of an acute angle in a right triangle to its sides has six ratios. Hence,

Figure: 1

This is the relationships of an angle given to sides.

Therefore;

Figure II

Based on figure II, given the angle a (alpha) and ß (beta), the six trigonometric functions were given. It is said to be fixed by means of relationships from the figure I given above.

Illustrations:

1. Based on the given figure below, find the six trigonometric functions of angle a.

2. Find the six trigonometric functions of angle ß from the given figure below.

3. Find the six trigonometric functions of angle A and angle B of the given figure below.

4. Provide the six trigonometric function of the figure given below.

More illustrations

1. The right triangle was provided below, find its six trigonometric functions.

2. Find the six trigonometric functions of angle ß below.

3. FInd the six trigonometric functions of two angles found in the figure below.

Answers to More Illustrations:

1. 

2.

   

3. 

Challenge yourself:

From the given figure provided,mentally find the following:

Figure:

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TRIGONOMETRICFUNCTIONS