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Transformations of the Sine and Cosine Graphs

Transformations of the Sine and Cosine Graphs
Transformations of the Sine and Cosine Graph – An Exploration By Sharon K. O’Kelley This is an exploration for Advanced Algebra or Precalculus teachers who have introduced their students to the basic sine and cosine graphs and now want their students to explore how changes to the equations affect the graphs. This is an introductory lesson whose purpose is to connect the language of Algebraic transformations to the more advanced topic of trignonometry. (A key follows the end of the exploration.) 1. 2. then the values of a = 1, b = 1, and c = 0. Let’s find out what happens when those values change…. 3. Equation of blue graph Equation of red graph a. b. c. 4. Equation of purple graph Equation of green graph a. b. c. d. 5. b. c. 6. a. b. c. d. 7. a. b. 8. Consider the graph of …. (The first function is in black.) Describe the transformations fully. (Hint: Look at this problem as 9. a. 10. 11. Key to the Exploration 3. a. b. . ) on the red graph. 4. a. b. . c. it is a vertical shrink by . is equivalent to

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Related:  GCSE Mathematics

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Questions on Trigonometric Functions 1. Use the definitions of the six trigonometric functions and the Pythagorean Identity given in the Field Guide Lesson to show that: 1 + tan2(x) = sec2(x) 1 + cot2(x) = csc2(x) Solving Trigonometric Equations Solving Trigonometric Equations (page 1 of 2) Solving trig equations use both the reference angles you've memorized and a lot of the algebra you've learned. Be prepared to need to think! Solve sin(x) + 2 = 3 for 0° < x < 360° Just as with linear equations, I'll first isolate the variable-containing term:

Tricky crocodile maths question befuddles students - but can you answer it? Earlier this year, a maths exam sat by students in Scotland was deemed so difficult that the pass mark had to be lowered. And now, a report has identified the chief culprit - a perplexing question about a crocodile stalking its prey. The pass mark for the new-look Higher maths exam - the Scottish equivalent of an A-level - was slashed to a lowly 34%. According to a report for the Scottish Qualifications Authority (SQA), the action was taken because of the overall difficulty of the test, as opposed to individual questions. However, the report, from the principal assessor in maths, does make specific reference to two questions which sparked outcry among students on social media.

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Graphs of trigonometric functions The Topics | Home Zeros of a function The graph of y = sin x The period of a function GCSE, AS and A level Assessment Objectives 1. GCSE assessment objectives Assessment objectives are part of the assessment arrangements for these qualifications. We adopt them into our regulatory framework through the subject-specific conditions that exam boards must comply with when designing their specifications. Jump to:

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