Practice Transformations of Trigonometric Graphs - 6 | 6. Trigonometric Identities and Graphs | (IB) Class 10 Mathematics – Group 5, Geometry & Trigonometry
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the amplitude of the function y = 4 cos(x)?

💡 Hint: Look at the coefficient before the cosine function.

Question 2

Easy

What is the phase shift of the function y = sin(x + 45°)?

💡 Hint: Remember a positive C shifts to the left.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does the 'A' in y = A sin(Bx + C) + D represent?

  • Amplitude
  • Period
  • Vertical Shift

💡 Hint: It affects how tall the wave will be.

Question 2

True or False: The period is defined as 360° / |B|.

  • True
  • False

💡 Hint: Remember how the variable B influences periodicity.

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Challenge Problems

Push your limits with challenges.

Question 1

Transform the function y = cos(x) by setting A = 4, B = 1, C = -90°, D = 1. What does the new function look like and what are its characteristics?

💡 Hint: Identify changes with given parameters before sketching.

Question 2

Given the function y = -2 sin(5x - 180°), analyze its amplitude, period, phase shift, and vertical shift.

💡 Hint: Use formulas to derive period and shifts.

Challenge and get performance evaluation