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# questions_1 - y = asin ( bx + c ) + d where A and B are the...

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free from www.analyzemath.com Trigonometry Worksheet (3) Trigonometry Questions Q1. Suppose f ( x ) is periodic with period p. What is the period of y = f ( bx )? Q2. What is the period y = | sin ( x ) | ? Q3. What is the period y = sin 2 ( x )? Q4. What is the period y = sin ( x ) cos ( x )? Q5. If f ( x ) = sin ( bx + c ) has x-intercepts at x = ..., - π, - 6 π 13 , π 13 , 8 π 13 , ... , is it possible to Fnd parameters b and c using the given information? Explain. www.analyzemath.com Page 1 of 4

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Q6. A curve of the form y = sin ( bx + c ) has a minimum at x = π/ 5 and an x-intercept at x = 6 π/ 5 as shown: a) What is the period of the graph? b) Find values for the parameters b and c such that b has a positive value and c has the smallest positive value. ( 6 π 5 , 0) ( π 5 , - 1) www.analyzemath.com Page 2 of 4
Q7. The graph below is that of a function given by

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Unformatted text preview: y = asin ( bx + c ) + d where A and B are the maximum and minimum values of y. a A A B d a) Find expressions for A and B in terms of a and d (assume a is positive). b) Find expressions for a and d in terms of A and B . www.analyzemath.com Page 3 of 4 Q8. The graph of a function of the form y = asin ( bx + c ) + d with a maximum at x = 18 / 7 and a minimum at x = 46 / 7 is shown below. Find the values of the parameters a , b , c and d . Find the smallest positive of c. ( 18 7 , 3 2 ) ( 46 7 , 1 2 ) www.analyzemath.com Page 4 of 4...
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## This note was uploaded on 04/10/2011 for the course MATH 1600 taught by Professor Staff during the Fall '09 term at North Texas.

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questions_1 - y = asin ( bx + c ) + d where A and B are the...

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