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1. FUNDAMENTAL RELATIONS BETWEEN THE TRIGONOMETRICAL RATIOS OFAN ANGLE It is clear from the definitions that if one of the trigonometric ratios of an angle is known, the numerical magnitude of each of the others is also known. • sin2  + cos2  = 1 or sin2  =1 –cos2  or cos2  = 1 – sin2  • 1 + tan2  = sec2  or sec2  – tan2  = 1 • 1 + cot2  = cosec2  or cosec2  – cot2  = 1 • tan = sin  and cot   cos  sin  • sin . cosec  = tan . cot  = cos  . sec  = 1 Illustration

Author

Raju Singh

Language

EN