2. A function f:D →→ R is said to be a periodic function if there exists a positive real number p such that for all integer n, f(x+np) = f(x) holds in D. The least positive p is said to be the period of f. Find the period of the function f, where a. f(x) = a sin 3x + b cos 3x for all real numbers a and b. b. f(x) = √tan x
2. A function f:D →→ R is said to be a periodic function if there exists a positive real number p such that for all integer n, f(x+np) = f(x) holds in D. The least positive p is said to be the period of f. Find the period of the function f, where a. f(x) = a sin 3x + b cos 3x for all real numbers a and b. b. f(x) = √tan x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 72E
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