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Introduction to Trigonometry and study the relationship between side and angle of a triangle. Distinguish various trigonometric ratios and describe and verify sine, cosine, tangent, cosecant, secant, cotangent of an angle. Use given trigonometric ratio(s) and find and verify other trigonometric ratios /angles of the triangle. Introduction
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1 Introduction. You have probably met the trigonometric ratios cosine, sine, and tangent in a right angled triangle, and have used them to calculate the sides and angles of those triangles. In this booklet we review the definition of these trigonometric ratios and extend the concept of cosine, sine and tangent.
9.1.1 REVIEW OF TRIGONOMETRIC FUNCTIONS FOR RIGHT-ANGLED TRIANGLES The trigonometric functions are defined as ratio functions in a right-angled triangle. As such they are often referred to as the trigonometric ratios. The trigonometric ratios are based on the right-angled triangle shown alongside. Such right-angled triangles are defined in
•define the ratios sine, cosine and tangent with reference to projections. •use the trig ratios to solve problems involving triangles. Contents 1. Introduction 2 2. Trig ratios for angles in a right-angled triangle 2 3. Angles 3 4. The sine of an angle in any quadrant 4 5. The cosine of any angle 5 6. The tangent of any angle 6 www ...
Introduction to Trigonometric Functions. -Trigonometry is one of the most useful branches of mathematics and is very applicable in science. -Trigonometry is based on angles, distances, and triangles, specifically the relationship between an interior angle in a triangle and the ratio of its side lengths. -Pythagorean theorem allows us to find ...
THE THREE BASIC TRIGONOMETRIC RATIOS In addition to the tangent ratio, there are two other basic ratios that we use. These are known as the sine and cosine ratios. We take to be the reference angle so 0° < < 90°. The three ratios are defined by: sin = opposite hypotenuse, cos = adjacent, tan = opposite adjacent
