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Trigonometric Ratios. For a right angle triangle, the relationship between lengths of sides and angles is described using the trigonometric ratios. . The 3 primary trigonometric ratios are: sine (sin), cosine (cos) and tangent (tan). For a given angle, A, the primary trig ratios are defined as follows: Sin(A) = hypotenuse.
Examples: Find the exact values of the following trig ratios: 1. cos 5π 6 2. sin 4π 3 Ask yourself: • quadrant? • anglefromx-axis? • ± CAST? • value of ratio? 3. tan 3π 4 4. sin 11π 6 5. tan −π 4 6. cos −2π 3 82
In this booklet we review the definition of these trigonometric ratios and extend the concept of cosine, sine and tangent. We define the cosine, sine and tangent as functions of all real numbers. These trigonometric functions are extremely important in science, engineering and mathematics, and some familiarity with them will be assumed in most
Trigonometric ratios provide relationships between the sides and angles of a right angle triangle. The three most commonly used ratios are: = RECIPROCAL RATIOS. To get the reciprocal of a number, just divide 1 by the number. Example: the reciprocal of 2 is 1/2 (half) Every number has a reciprocal except 0 (1/0 is undefined)
1. DEFINITION AND EXAMPLES OF THE TRIGONOMETRIC FUNCTIONS OF AN ACUTE ANGLE IN TERMS OF A RIGHT TRIANGLE. 2. USING A RIGHT TRIANGLE TO FIND THE VALUE OF THE SIX TRIGONOMETRIC FUNCTIONS OF ANGLES IN THE FIRST, SECOND, THIRD, AND FOURTH QUADRANTS. 1.
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
The sine, cosine and tangent ratios Trigonometry is the study of lengths and angles in triangles. This section looks at trigonometry in right-angled triangles. In a right-angled triangle the side opposite the right angle is the hypotenuse, which is the longest side. † AC is the hypotenuse † AB is adjacent to angle A (•) † BC is opposite •
