Class 11 Mathematics · Chapter 11 · Test 2
Graphs of Trigonometric Functions
35 MCQs Covers features of the graphs of sin, cos, tan, cot, sec and cosec, including asymptotes, periods and intercepts.
35 questions · 30 min · 35 marks
Want to try first? Take the free Mathematics test: Complex Number Operations
Sample questions
The first 5 of 35. Try each one, then tap to see the answer.
Question 1
The graph of y = sin x passes through which point?
- A(0, 1)
- B(0, 0)
- C(π/2, 0)
- D(π, 1)
Show answerHide answer
Answer: B
sin 0 = 0, so the curve passes through the origin. Its maximum is at (π/2, 1).
Question 2
At which point does the graph of y = cos x cut the y-axis?
- A(0, 0)
- B(0, −1)
- C(π/2, 1)
- D(0, 1)
Show answerHide answer
Answer: D
cos 0 = 1, so the y-intercept is 1.
Question 3
The graphs of trigonometric functions are smooth curves that are continuous:
- Awherever they are defined
- Beverywhere on R, for all six functions
- Conly for sin x and cos x
- Donly on [0, 2π]
Show answerHide answer
Answer: A
Sin and cos are continuous everywhere, but tan, cot, sec and cosec have breaks at their asymptotes, outside their domains.
Question 4
The dashed vertical lines drawn in the graphs of tan x, cot x, sec x and cosec x represent:
- Ahorizontal asymptotes
- Baxes of symmetry
- Cvertical asymptotes
- Dmaximum values
Show answerHide answer
Answer: C
They mark values of x where the function is undefined and the graph shoots off to ±∞.
Question 5
The graph of y = tan x has vertical asymptotes at:
- Ax = 0, ±π, ±2π, ...
- Bx = ±π/2, ±3π/2, ...
- Cx = ±π/4, ±3π/4, ...
- Dno values of x
Show answerHide answer
Answer: B
tan x is undefined where cos x = 0.
More tests in Trigonometric Functions and their Graphs
Practise with a free account
Save your scores, see which chapters need work, and keep a notebook of every question you got wrong.