Graphs of Trigonometric Functions
Math ⇒ Trigonometry
Graphs of Trigonometric Functions starts at 11 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Graphs of Trigonometric Functions.
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See sample questions for grade 11
Describe the effect on the graph of y = cos(x) if the equation is changed to y = 0.5cos(x).
Describe the effect on the graph of y = sin(x) if the equation is changed to y = sin(x - π/4).
Describe the transformation from y = sin(x) to y = -sin(x) + 2.
If the period of y = sin(bx) is π, what is the value of b?
If y = -2cos(2x), what is the amplitude and period?
If y = 2cos(x) + 1, what is the maximum value of the function?
If y = 2sin(3x), what is the amplitude and period?
If y = 3sin(x) - 4, what is the minimum value of the function?
The graph of y = cos(x) is symmetric about which axis? (1) x-axis (2) y-axis (3) origin (4) none of these
Which of the following functions has a period of π? (1) y = sin(x) (2) y = tan(x) (3) y = cos(x) (4) y = sec(x)
Which of the following functions has no amplitude? (1) y = sin(x) (2) y = tan(x) (3) y = cos(x) (4) y = -2sin(x)
Which of the following functions is odd? (1) y = cos(x) (2) y = sin(x) (3) y = sec(x) (4) y = cos(x) + 1
The function y = sin(x) + cos(x) has a maximum value of _______.
The function y = sin(x) is an _______ function.
The function y = tan(x) is undefined at x = _______.
The maximum value of y = -2cos(x) is _______.
True or False: The amplitude of y = 3sin(x) is 3.
True or False: The function y = sin(x) + 1 has a range of [0, 2].
True or False: The graph of y = cos(x) passes through the point (0, 1).
True or False: The graph of y = cot(x) has vertical asymptotes at x = nπ, where n is an integer.
