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INTRODUCTION TO TRIGONOMETRY AND ITS …

(A) Main Concepts and Results Trigonometric Ratios of the angle A in a triangle ABC right angled at Bare defined as:sine of A = sin A = sideoppositetoABChypotenuseAC =cosine of A = cos A = sideadjacenttoAABhypotenuseAC =tangent of A = tan A = sideoppositetoABCsideadjacenttoangleAAB = cosecant of A = cosec A = 1 ACsinABC=secant of A = sec A1AC cosAAB==cotangent of A = cot A = 1 ABtan ABC=tan A = sinAcosA, cot A = cosAsinAINTRODUCTION TO TRIGONOMETRY AND ITS APPLICATIONSCHAPTER 803/05/1888 EXEMPLAR PROBLEMS The values of trigonometric ratios of an angle do not vary with the lengths of thesides of the triangle, if the angle remains the same. If one trigonometric ratio of an angle is given, the other trigonometric ratios ofthe angle can be determined. Trigonometric ratios of angles: 0 , 30 , 45 , 60 and 90 .A0 30 45 60 90 sin A01212321cos A13212120tan A01313 Not definedcosec ANot defined22231sec A12322 Not definedcot ANot defined31130 The value of sin A or cos A never exceeds 1, whereas the value of sec A orcosec A is always greater than or equal to 1.

INTRODUCTION TO TRIGONOMETRY AND ITS APPLICATIONS 89 • The ‘line of sight’ is the line from the eye of an observer to the point in the object viewed by the observer. ...

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