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2.2 Fundamental Relations between the trigonometic ratios of an angle


From (3) we have, sec2q - tan2q = 1 and
From (4) we have, cosec2q - cot2q = 1

Trigonometric Functions Of Complementary Angles

let Ð OPM = a so that (q + a) = 900 \ a = (90 - q)

Here q and a are measures of complementary angles

Thus, in general :

sin q = cos (90 - q) cos q = sin (90 - q)
tan q = cot (90 - q) cot q = tan (90 - q)
sec q = cosec (90 - q) cosec q  = sec (90 - q)

These relations, associates the functions in pair - (sine and cosine), (tangent and cotangent) and (secant and cosecant). These three pairs of trigonometric functions are called "Cofunctions"

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Index

2.1 Trigonometric Ratio of Acute Angles
2.2 Fundamental Relation between the trigonometric Ratios of an angle
2.3 Functions of General Angles or t Ratio
2.4 Tables of Trigonometric Function
Supplementary Problems

Chapter 3





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