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# 4.2: Trigonometric Ratios and Special Angles.

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on 29 July 2015

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#### Transcript of 4.2: Trigonometric Ratios and Special Angles.

CAST RULE
INTRODUCTION
Scientists, engineers, and other professionals work with radians in many ways. For example, the variety of sounds possible in electronic music is created using trigonometric models. Also, the electricity produced by a power plant follows a trigonometric relation. In this chapter, we will learn about Cast Rule, how to determine exact trigonometric ratios of special angles, angles in standard position.
Trigonometric comes from two greek terms,
trigon
meaning triangle and
mentron
meaningmeasure. so, trigonometric is the study of triangle measurement.
Trigonometric Ratios
The most common trigonometric ratios are
sine
,
cosine
, and
tangent.
Sine= opposite/ hypotenuse

ANGLES IN STANDARD POSITION
An angles is in
STANDARD POSITION
when it is centred at the origin,
the initial arm is the positive x-axis and the terminal arm rests

Unit Circle
How to determine trigonometric ratios with special angles.
4.2 Trigonometric Ratios and special angles.

Objectives:
Define angles in standard position
State Cast Rule
Unit circle
How to determine trigonometric ratios with special angles
Solving Problems

This video shows how to find the trigonometric ratios of the special angles and how to use them to find exact values of expressions.
Table of values of the 6 trigonometric functions
sin x, cos x, tan x, cot x, sec x
,
and
csc x
for special angles.
N.B The letter

U
means
undefined.
Example: 3
Example: 4
Conclusion
Trigonometric is the study of relationship between the sides and angles of a triangle. the ratios of the sides in a right triangle with respect to its acute angles are called trtigonometric ratios of the angles.

Reference
McGraw-Hill Ryerson. (2008).