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Class 12 Exam 2017 : English Paper 1 (English Language)

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Trigonometric Formula Sheet Definition of the Trig Functions Unit Circle Definition Assume can be any angle. Right Triangle Definition Assume that: or 0 < < 90 0< < 2 y (x, y) 1 hypotenuse opposite y x x adjacent opp hyp adj cos = hyp opp tan = adj sin = hyp opp hyp sec = adj adj cot = opp y 1 x cos = 1 y tan = x csc = sin = 1 y 1 sec = x x cot = y csc = Domains of the Trig Functions sin , ( , ) csc , = n , where n Z cos , ( , ) sec , = n+ tan , = n+ cot , = n , where n Z 1 , where n Z 2 1 , where n Z 2 Ranges of the Trig Functions 1 sin 1 1 cos 1 tan csc 1 and csc 1 sec 1 and sec 1 cot Periods of the Trig Functions The period of a function is the number, T, such that f ( +T ) = f ( ) . So, if is a fixed number and is any angle we have the following periods. 2 2 sec( ) T = cot( ) T = 2 2 cos( ) T = tan( ) T = csc( ) T = sin( ) T = 1

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