🎯 Knowledge Check

Maths — TRIGONOMETRIC FUNCTIONS

50 Questions Class 11 MCQs
1
The value of \( \sin 0^\circ \) is:
(NCERT–Basic)
2
The value of \( \cos 0^\circ \) is:
(NCERT–Basic)
3
The value of \( \tan 45^\circ \) is:
(NCERT–Basic)
4
The value of \( \sin 30^\circ \) is:
(NCERT–Basic)
5
The value of \( \cos 60^\circ \) is:
(NCERT–Basic)
6
The value of \( \sin 90^\circ \) is:
(NCERT–Basic)
7
The value of \( \cos 90^\circ \) is:
(NCERT–Basic)
8
The value of \( \tan 30^\circ \) is:
(NCERT–Basic)
9
The value of \( \tan 60^\circ \) is:
(NCERT–Basic)
10
The value of \( \sin 45^\circ \) is:
(NCERT–Basic)
11
The value of \( \cos 45^\circ \) is:
(NCERT–Basic)
12
The value of \( \sin(180^\circ - \theta) \) is:
(NCERT–Conceptual)
13
The value of \( \cos(180^\circ - \theta) \) is:
(NCERT–Conceptual)
14
The value of \( \sin(90^\circ - \theta) \) is:
(NCERT–Conceptual)
15
The value of \( \cos(90^\circ - \theta) \) is:
(NCERT–Conceptual)
16
The value of \( \tan(90^\circ - \theta) \) is:
(NCERT–Conceptual)
17
The value of \( \sin 270^\circ \) is:
(NCERT–Conceptual)
18
The value of \( \cos 270^\circ \) is:
(NCERT–Conceptual)
19
The value of \( \tan 180^\circ \) is:
(NCERT–Conceptual)
20
The value of \( \sin(-\theta) \) is:
(NCERT–Conceptual)
21
The value of \( \cos(-\theta) \) is:
(NCERT–Conceptual)
22
The value of \( \tan(-\theta) \) is:
(NCERT–Conceptual)
23
The value of \( \sin 150^\circ \) is:
(NCERT–Standard)
24
The value of \( \cos 150^\circ \) is:
(NCERT–Standard)
25
The value of \( \tan 150^\circ \) is:
(NCERT–Standard)
26
If \( \sin \theta = 3/5 \) and \( \theta \) is acute, then \( \cos \theta \) equals:
(NCERT–Application)
27
If \( \cos \theta = 12/13 \), then \( \sin \theta \) equals:
(NCERT–Application)
28
The value of \( \sin^2 30^\circ + \cos^2 30^\circ \) is:
(NCERT–Identity)
29
The value of \( \tan \theta \cdot \cot \theta \) is:
(NCERT–Identity)
30
The value of \( \sin 210^\circ \) is:
(NCERT–Advanced)
31
The value of \( \cos 210^\circ \) is:
(NCERT–Advanced)
32
The value of \( \tan 210^\circ \) is:
(NCERT–Advanced)
33
The value of \( \sin(360^\circ - \theta) \) is:
(NCERT–Advanced)
34
The value of \( \cos(360^\circ - \theta) \) is:
(NCERT–Advanced)
35
The value of \( \tan(360^\circ - \theta) \) is:
(NCERT–Advanced)
36
The value of \( \sin 300^\circ \) is:
(NCERT–Advanced)
37
The value of \( \cos 300^\circ \) is:
(NCERT–Advanced)
38
The value of \( \tan 300^\circ \) is:
(NCERT–Advanced)
39
The value of \( \sin 225^\circ \) is:
(NCERT–Advanced)
40
The value of \( \cos 225^\circ \) is:
(NCERT–Advanced)
41
The value of \( \tan 225^\circ \) is:
(NCERT–Advanced)
42
The value of \( \sin^2 45^\circ \) is:
(NCERT–Standard)
43
The value of \( \cos^2 60^\circ \) is:
(NCERT–Standard)
44
The value of \( \sin 0^\circ \cdot \cos 90^\circ \) is:
(NCERT–Standard)
45
The value of \( \tan 45^\circ + \cot 45^\circ \) is:
(NCERT–Standard)
46
The value of \( \sin 90^\circ \cdot \cos 0^\circ \) is:
(NCERT–Standard)
47
The value of \( \sin 120^\circ \) is:
(NCERT–Advanced)
48
The value of \( \cos 120^\circ \) is:
(NCERT–Advanced)
49
The value of \( \tan 120^\circ \) is:
(NCERT–Advanced)
50
The value of \( \sin 360^\circ \) is:
(NCERT–Advanced)

Frequently Asked Questions

Trigonometrical functions are functions that relate an angle to ratios of sides of a right-angled triangle or to coordinates on the unit circle

Because each angle corresponds to a unique real value of sine, cosine, tangent, etc

An angle measured in radians can take any real value, positive or negative

Radian is the angle subtended at the center of a circle by an arc equal in length to the radius

There are p radians in 180 degrees

The domain of sin x and cos x is all real numbers

The range is from -1 to 1 inclusive

All real numbers except odd multiples of \(\pi/2\)

Periodicity means the function repeats its values after a fixed interval

The period is \(2\pi\)

The period is \(\pi)

Identities that hold true for all permissible values of \(x\), such as \(\sin^2 x + \cos^2 x = 1\)

Identities that relate trigonometric functions as reciprocals of each other

Identities expressing tan x and cot x as ratios of sine and cosine

Identities derived from the Pythagorean theorem involving sin, cos, and tan

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