Class 11 Math - Trigonometric Functions - MERIT YARD
Class 11 Math - Trigonometric Functions - MERIT YARD
1 / 40What is the value of
\( \pi \) radians in degrees?
A) \( 90^\circ \)
B) \( 270^\circ \)
C) \( 180^\circ \)
D) \( 360^\circ \)
2 / 40What is the formula for arc length \( l \),
where \( r \) is radius and \( \theta \) is angle in radians?
A) \( r\theta \)
B) \( \frac{r}{\theta} \)
C) \( \theta^2 r \)
D) \( \frac{\theta}{r} \)
3 / 40Evaluate the basic identity:
\( \sin^2 x + \cos^2 x = \)
A) \( 0 \)
B) \( -1 \)
C) \( 2 \)
D) \( 1 \)
4 / 40What is the value of
\( 90^\circ \) in radians?
A) \( \pi \)
B) \( \frac{\pi}{2} \)
C) \( \frac{\pi}{4} \)
D) \( \frac{\pi}{3} \)
5 / 40What is the range of
the function \( f(x) = \sin x \)?
A) \( [0, 1] \)
B) \( \mathbb{R} \)
C) \( [-1, 1] \)
D) \( [-2, 2] \)
6 / 40What is the range of
the function \( f(x) = \cos x \)?
A) \( \mathbb{R} \)
B) \( [0, 1] \)
C) \( [1, \infty) \)
D) \( [-1, 1] \)
7 / 40Find the exact value of:
\( \sin(0) \)
A) \( 0 \)
B) \( 1 \)
C) \( -1 \)
D) \( \frac{1}{2} \)
8 / 40Find the exact value of:
\( \cos\left(\frac{\pi}{2}\right) \)
A) \( 1 \)
B) \( 0 \)
C) \( -1 \)
D) \( \infty \)
9 / 40In the second quadrant,
which trigonometric function is positive?
A) \( \cos x \)
B) \( \tan x \)
C) \( \sec x \)
D) \( \sin x \)
10 / 40Find the exact value of:
\( \tan\left(\frac{\pi}{4}\right) \)
A) \( 0 \)
B) \( \sqrt{3} \)
C) \( 1 \)
D) \( \frac{1}{\sqrt{3}} \)
11 / 40In the third quadrant,
which trigonometric function is positive?
A) \( \tan x \)
B) \( \sin x \)
C) \( \cos x \)
D) \( \csc x \)
12 / 40In the fourth quadrant,
which trigonometric function is positive?
A) \( \tan x \)
B) \( \cos x \)
C) \( \sin x \)
D) \( \cot x \)
13 / 40Evaluate the trigonometric identity:
\( 1 + \tan^2 x = \)
A) \( \csc^2 x \)
B) \( \sec^2 x \)
C) \( \cos^2 x \)
D) \( \cot^2 x \)
14 / 40What is the maximum value of
the function \( f(x) = \sin x \)?
A) \( 1 \)
B) \( 2 \)
C) \( \pi \)
D) \( \infty \)
15 / 40Evaluate the trigonometric identity:
\( 1 + \cot^2 x = \)
A) \( \sin^2 x \)
B) \( \sec^2 x \)
C) \( \csc^2 x \)
D) \( \tan^2 x \)
16 / 40Complete the formula:
\( \sin(-x) = \)
A) \( \sin x \)
B) \( \cos x \)
C) \( -\cos x \)
D) \( -\sin x \)
17 / 40Complete the formula:
\( \tan(-x) = \)
A) \( \tan x \)
B) \( -\tan x \)
C) \( \cot x \)
D) \( -\cot x \)
18 / 40Complete the formula:
\( \cos(\pi - x) = \)
A) \( \sin x \)
B) \( -\sin x \)
C) \( \cos x \)
D) \( -\cos x \)
19 / 40Complete the formula:
\( \cos(-x) = \)
A) \( \cos x \)
B) \( -\cos x \)
C) \( \sin x \)
D) \( -\sin x \)
20 / 40Complete the formula:
\( \sin(\pi - x) = \)
A) \( -\cos x \)
B) \( -\sin x \)
C) \( \sin x \)
D) \( \cos x \)
21 / 40Complete the formula:
\( \sin\left(\frac{\pi}{2} - x\right) = \)
A) \( -\sin x \)
B) \( -\cos x \)
C) \( \sin x \)
D) \( \cos x \)
22 / 40Complete the formula:
\( \tan(\pi - x) = \)
A) \( \tan x \)
B) \( \cot x \)
C) \( -\tan x \)
D) \( -\cot x \)
23 / 40Complete the formula:
\( \sin(\pi + x) = \)
A) \( -\sin x \)
B) \( \sin x \)
C) \( \cos x \)
D) \( -\cos x \)
24 / 40Complete the formula:
\( \cos(\pi + x) = \)
A) \( \sin x \)
B) \( -\cos x \)
C) \( \cos x \)
D) \( -\sin x \)
25 / 40Complete the formula:
\( \cos\left(\frac{\pi}{2} - x\right) = \)
A) \( \sin x \)
B) \( -\cos x \)
C) \( -\sin x \)
D) \( \cos x \)
26 / 40Complete the expansion formula:
\( \cos(x + y) = \)
A) \( \sin x \cos y + \cos x \sin y \)
B) \( \sin x \cos y - \cos x \sin y \)
C) \( \cos x \cos y - \sin x \sin y \)
D) \( \cos x \cos y + \sin x \sin y \)
27 / 40What is the formula for
\( \sin 2x \)?
A) \( \cos^2 x - \sin^2 x \)
B) \( 1 - 2\sin^2 x \)
C) \( 2\cos^2 x - 1 \)
D) \( 2\sin x \cos x \)
28 / 40Complete the expansion formula:
\( \sin(x + y) = \)
A) \( \cos x \cos y - \sin x \sin y \)
B) \( \sin x \cos y + \cos x \sin y \)
C) \( \sin x \cos y - \cos x \sin y \)
D) \( \cos x \cos y + \sin x \sin y \)
29 / 40What is the formula for
\( \tan 2x \)?
A) \( \frac{\tan x}{1 + \tan^2 x} \)
B) \( \frac{2\tan x}{1 + \tan^2 x} \)
C) \( \frac{2\tan x}{1 - \tan^2 x} \)
D) \( \frac{1 - \tan^2 x}{2\tan x} \)
30 / 40What is \( \cos 2x \)
in terms of sine?
A) \( 1 - 2\sin^2 x \)
B) \( 2\sin^2 x - 1 \)
C) \( 1 + 2\sin^2 x \)
D) \( \cos^2 x - \sin^2 x \)
31 / 40What is \( \cos 2x \)
in terms of cosine?
A) \( \cos^2 x - 1 \)
B) \( 2\cos^2 x - 1 \)
C) \( 1 - 2\cos^2 x \)
D) \( 2\cos^2 x + 1 \)
32 / 40Complete the formula:
\( \sin(2\pi + x) = \)
A) \( -\sin x \)
B) \( \cos x \)
C) \( -\cos x \)
D) \( \sin x \)
33 / 40Complete the formula:
\( \cos(2\pi + x) = \)
A) \( \cos x \)
B) \( -\cos x \)
C) \( \sin x \)
D) \( -\sin x \)
34 / 40Find the exact value of:
\( \cos(60^\circ) \)
A) \( 1 \)
B) \( \frac{\sqrt{3}}{2} \)
C) \( \frac{1}{2} \)
D) \( 0 \)
35 / 40Find the exact value of:
\( \sin(30^\circ) \)
A) \( \frac{\sqrt{3}}{2} \)
B) \( \frac{1}{2} \)
C) \( 1 \)
D) \( 0 \)
36 / 40Find the exact value of:
\( \sin(90^\circ) \)
A) \( 0 \)
B) \( -1 \)
C) \( \frac{1}{2} \)
D) \( 1 \)
37 / 40Find the exact value of:
\( \cos(0^\circ) \)
A) \( 1 \)
B) \( 0 \)
C) \( -1 \)
D) \( \infty \)
38 / 40What is the period of
the tangent function \( \tan x \)?
A) \( 2\pi \)
B) \( \frac{\pi}{2} \)
C) \( \pi \)
D) \( 4\pi \)
39 / 40What is the period of
the sine function \( \sin x \)?
A) \( \pi \)
B) \( 2\pi \)
C) \( \frac{\pi}{2} \)
D) \( 4\pi \)
40 / 40The cosecant function \( \csc x \)
is the reciprocal of:
A) \( \sec x \)
B) \( \tan x \)
C) \( \cos x \)
D) \( \sin x \)
Test Analysis

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Wrong ❌ 0

Unattempted ⚠️ 40

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Time Taken ⏱️ 00m 00s

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