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ISC Class XII Notes 2024 : Business Studies (Chatrabhuj Narsee Memorial School (CNM), Mumbai)

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Bharti Gupta
Chatrabhuj Narsee Memorial School (CNM), Mumbai

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FOR CLASSES IX, X, XI, & XII CBSE/ICSE/ISC/UP BOARD The pathway to success Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that 0 < < 2 or 0 < < 90 . Unit circle definition For this definition is any angle. y ( x, y ) hypotenuse opposite y 1 x x adjacent opposite hypotenuse adjacent cos = hypotenuse opposite tan = adjacent sin = hypotenuse opposite hypotenuse sec = adjacent adjacent cot = opposite csc = y =y 1 x cos = = x 1 y tan = x sin = 1 y 1 sec = x x cot = y csc = Facts and Properties Domain The domain is all the values of that can be plugged into the function. sin , can be any angle cos , can be any angle 1 tan , n + , n = 0, 1, 2, 2 csc , n , n = 0, 1, 2, 1 sec , n + , n = 0, 1, 2, 2 cot , n , n = 0, 1, 2, Range The range is all possible values to get out of the function. csc 1 and csc 1 1 sin 1 1 cos 1 sec 1 and sec 1 tan cot Period 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. sin ( ) T= cos ( ) T= tan ( ) T csc ( ) T sec ( ) T cot ( ) T 2 2 = 2 = 2 = = Add:- H . O . 333, SUBHASH NAGAR, BHOLAKHERA ,KRISHNA NAGAR LUCKNOW Ph.# 9169647646: mail id: maaheshwariclasses@gmail.com, website- www.maheshwariclasses.com 1

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