MATA30H3 Lecture Notes - List Of Trigonometric Identities, Algebraic Solution, Inverse Trigonometric Functions

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MATA30H3 Full Course Notes
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MATA30H3 Full Course Notes
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The graphs of y = sin x, y = cos x, and y = tan x are periodic. The graphs of y = sin x and y = cos x are similar in shape and have an amplitude of 1 and a period of 2 . The graph of y = sin x can be transformed into graphs modeled by equations of the form y = sin x + c, y = sin (x d), and y = sin kx. The graph of y = tan x has no amplitude because it has no maximum or minimum values. It is undefined at values of x that are odd multiples of /2, such as /2 and 3 /2. The graph becomes asymptotic as the angle approaches these values from left and the right. The graphs of y = csc x, y = sec x, and y = cot x are periodic.