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3_3 - x = cos x(cos x =-sin x •(tan x = sec 2 x(cot x...

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Section 3.3: Derivatives of Trigonometric Functions Instructor: Ms. Hoa Nguyen ([email protected]) Trigonometric functions Let P ( x, y ) be any point on the terminal side of the angle θ and r = | OP | , then sin θ = y r , csc θ = r y cos θ = x r , sec θ = r x tan θ = y x , cot θ = x y Remark : tan x = sin x cos x , cot x = cos x sin x sec x = 1 cos x , csc x = 1 sin x Graphs of trigonometric functions 1
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Derivatives of trigonometric functions x is measured in radians. (sin
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Unformatted text preview: x ) = cos x, (cos x ) =-sin x • (tan x ) = sec 2 x, (cot x ) =-csc 2 x • (sec x ) = sec x tan x, (csc x ) =-csc x cot x Example 2 of Section 3.3 (textbook): Example 3 of Section 3.3 (textbook): Example 4 of Section 3.3 (textbook): Example 5 of Section 3.3 (textbook): Example 6 of Section 3.3 (textbook): 2...
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3_3 - x = cos x(cos x =-sin x •(tan x = sec 2 x(cot x...

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