AKUEB Class 11 (HSSC-I) Mathematics Trigonometric Functions and their Graphs MCQs & Practice Questions

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.1 Trigonometric Functions / 9.1.5

Past Paper 2024HARD

The function $2 - 3\sin(\theta + 40°)$ has the minimum value when $\theta$ is equal to

90°

60°

50°

30°

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.1 Trigonometric Functions / 9.1.4

Past Paper 2024MEDIUM

If the period of $f(x) = \sin(ax)$ is $\dfrac{\pi}{2}$ , then the value of $a$ is

\dfrac{1}{4}

\dfrac{1}{2}

2

4

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.1 Trigonometric Functions / 9.1.2

Past Paper 2024EASY

The range of $\cosec x$ is

[-1,1]

(-1,1)

\mathbb{R} - [-1,1]

\mathbb{R} - (-1,1)

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.1 Trigonometric Functions / 9.1.1

Past Paper 2024EASY

$3\pi$ radians can be expressed in degrees as

0.16°

9.42°

180°

540°

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.1 Trigonometric Functions / 9.1.4

Past Paper 2025MEDIUM

The period of $\sec 8x$ is

\dfrac{\pi}{4}

\dfrac{\pi}{2}

2\pi

16\pi

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.1 Trigonometric Functions / 9.1.2

Model Paper 2026MEDIUM

Fill in the following blanks:

Find the period, domain and range of

2\sin 2x

.
Period:
Domain:
Range:

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.2 Graphs of Trigonometric Functions / 9.2.4

Model Paper 2026MEDIUM

Fill in the blanks:

The figure shows the graph of

y=a\sin(px)

for

0°\leq x\leq 180°

, where

a

and

p

are positive constants.
The value of

a

isand value of

p

is
The period of

y

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.2 Graphs of Trigonometric Functions / 9.2.4

Model Paper 2026EASY

The graph represents the:

odd function
even function
neither function

II and IIII and IIIII onlyI only

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.2 Graphs of Trigonometric Functions / 9.2.1

Model Paper 2026EASY

The function $\cos(\theta+2\pi)$ is equal to

\cos\theta

\sin\theta

-\sin\theta

-\cos\theta

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.1 Trigonometric Functions / 9.1.5

Model Paper 2026EASY

Q10

The maximum value of the function $f(\theta)=-2+4\cos\theta$ is

-6

-2

2

4

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.1 Trigonometric Functions / 9.1.2

Model Paper 2026EASY

Q11

The trigonometric function that is NOT defined at $\theta=90^\circ$ is

\sin\theta

\cos\theta

\tan\theta

\cot\theta

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.1 Trigonometric Functions / 9.1.3

Model Paper 2026EASY

Q12

Which of the given functions is an even function?

\cos^2\theta\sin\theta

\sin\theta\tan\theta

\cos\theta\tan\theta

\sin\theta\cot^2\theta

Class 11 - Mathematics / Unit 9 - Trigonometric Functions and their Graphs / 9.1 Trigonometric Functions / 9.1.2

Model Paper 2026MEDIUM

Q13

The range of $\dfrac{\sin\alpha}{\cos\alpha}$ is the set of all

real numbersreal numbers except

1

real numbers except

-1

real numbers between

-1

and

1

Trigonometric Functions and their Graphs - Class 11 (HSSC-I) Mathematics