Test: Graphs Of Trigonometric Functions - JEE MCQ

# Test: Graphs Of Trigonometric Functions - JEE MCQ

Test Description

## 20 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Test: Graphs Of Trigonometric Functions

Test: Graphs Of Trigonometric Functions for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Test: Graphs Of Trigonometric Functions questions and answers have been prepared according to the JEE exam syllabus.The Test: Graphs Of Trigonometric Functions MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Graphs Of Trigonometric Functions below.
Solutions of Test: Graphs Of Trigonometric Functions questions in English are available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Test: Graphs Of Trigonometric Functions solutions in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Graphs Of Trigonometric Functions | 20 questions in 20 minutes | Mock test for JEE preparation | Free important questions MCQ to study Mathematics (Maths) for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
Test: Graphs Of Trigonometric Functions - Question 1

### The period of y = sin 5x is

Detailed Solution for Test: Graphs Of Trigonometric Functions - Question 1

Period of sin x is 2π.
Period of sin 5x is 2π/5

Test: Graphs Of Trigonometric Functions - Question 2

### Which of the following is positive?

 1 Crore+ students have signed up on EduRev. Have you?
Test: Graphs Of Trigonometric Functions - Question 3

### Period of cot(x) is

Test: Graphs Of Trigonometric Functions - Question 4

The following graph represents

Test: Graphs Of Trigonometric Functions - Question 5

Period of 15csc(x/3) is

Detailed Solution for Test: Graphs Of Trigonometric Functions - Question 5

15cosec(x/3)= 2π/1/3=6 π

Test: Graphs Of Trigonometric Functions - Question 6

The value of x changes 0 to π/2 then tan x changes from

Detailed Solution for Test: Graphs Of Trigonometric Functions - Question 6

Test: Graphs Of Trigonometric Functions - Question 7

Which of the following statements is correct

Test: Graphs Of Trigonometric Functions - Question 8

The period of the function y = sec x is

Detailed Solution for Test: Graphs Of Trigonometric Functions - Question 8

y = sec x is periodic function. The period of y = sec x is 2π.

Test: Graphs Of Trigonometric Functions - Question 9

The period of the function y = 5 sin x/2 is

Detailed Solution for Test: Graphs Of Trigonometric Functions - Question 9

Period = 2π/|b|
As it is given a =5, b = 1/2
period = 2π/|1/2|
⇒ 4π

Test: Graphs Of Trigonometric Functions - Question 10

Which of the trigonometric ratios are positive for 250°

Test: Graphs Of Trigonometric Functions - Question 11

The range of the function y = cotx is

Detailed Solution for Test: Graphs Of Trigonometric Functions - Question 11

Range of cotx is (−∞,+∞)

Explanation:

The cotangent function can take up any values depending on the value of x , the independent variable.
And thus, the range (−∞,+∞) is justified.

The domain is all real numbers other than integral multiples of π where, the function is not defined.

Test: Graphs Of Trigonometric Functions - Question 12

The quadrant in which sin θ is negative and tan θ is positive is

Detailed Solution for Test: Graphs Of Trigonometric Functions - Question 12

This occurs in either the I or the III quadrant. The only way for tan θ positive and sin θ negative is the III quadrant.

Test: Graphs Of Trigonometric Functions - Question 13

The Magnitude of the function 3sin x

Detailed Solution for Test: Graphs Of Trigonometric Functions - Question 13

The Magnitude of y = 3sinx is 3.
graph{y=-3*sinx [-10, 10, -5, 5]}
Amplitude is the height of a periodic function, aka the distance from the center of the wave to it's highest point (or lowest point). You can also take the distance from the highest point to the lowest point of the graph and divide it by two.

Test: Graphs Of Trigonometric Functions - Question 14

The following graph represents

Test: Graphs Of Trigonometric Functions - Question 15

Which of the following is incorrect

Test: Graphs Of Trigonometric Functions - Question 16

The period of the function y = tan x is

Detailed Solution for Test: Graphs Of Trigonometric Functions - Question 16

The period of y=tanx is π.
Since the function y = tan x is periodic of period π hence each branch is simply a repetition of the branch from -
(-π/2 , π/2).

Test: Graphs Of Trigonometric Functions - Question 17

The graph of y= cos x meets the x axis at

Detailed Solution for Test: Graphs Of Trigonometric Functions - Question 17

(i) The graph of the function y = cos x is continuous and extends on either side in symmetrical wave form.
(ii) Since the graph of y = cos x intersects the x-axis at the origin and at points where x is an odd multiple of 90°, hence cos x is zero at x = (2n + 1)/π2 where n = 0, ±1, ±2, ±3, ±4, ……………... .

Test: Graphs Of Trigonometric Functions - Question 18

The domain and range of y = sinx is

Detailed Solution for Test: Graphs Of Trigonometric Functions - Question 18

The sine function has no domain restrictions. That means that the domain is (−∞,+∞)
However, the range of a since function is restricted as such : [−1,+1].

Test: Graphs Of Trigonometric Functions - Question 19

The graph of sin x meets x axis at

Test: Graphs Of Trigonometric Functions - Question 20

tan θ is positive, so θ lies in quadrant

## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests
Information about Test: Graphs Of Trigonometric Functions Page
In this test you can find the Exam questions for Test: Graphs Of Trigonometric Functions solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Graphs Of Trigonometric Functions, EduRev gives you an ample number of Online tests for practice

## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests