CUET-PG SERIES Mathematics
Trigonometric Equations
18 previous year questions.
Volume: 18 Ques
Yield: Medium
High-Yield Trend
18
2023 Chapter Questions 18 MCQs
01
PYQ 2023
medium
mathematics ID: cuet-pg-
The value of is
1
2
3
4
02
PYQ 2023
medium
mathematics ID: cuet-pg-
If sec 5 A = Cosec A, then the value of A is
1
30°
2
15°
3
60°
4
45°
03
PYQ 2023
medium
mathematics ID: cuet-pg-
Consider the trigonometric equation , where and are not odd multiples of . Then the solution of this equation is:
1
x = nл+(-1)nу
2
x=y
3
x = nл+у
4
x-nл-y
04
PYQ 2023
medium
mathematics ID: cuet-pg-
If , then find the value of :
1
119
2
3
4
05
PYQ 2023
medium
mathematics ID: cuet-pg-
If cot 20° tan (90° A) = 1, than value of A is :
1
50°
2
45°
3
70°
4
60°
06
PYQ 2023
medium
mathematics ID: cuet-pg-
If , then the value of K is
1
0
2
1
3
1.5
4
2
07
PYQ 2023
medium
mathematics ID: cuet-pg-
If A, B and C are acute positive angles such that A + B + C = π and cot A cot B cot c = K, then
1
2
3
4
08
PYQ 2023
medium
mathematics ID: cuet-pg-
A straight line has equation y=-x+6 which of the following line is parallel to it?
1
2y + 3x = -5
2
-3x-3y+7=0
3
2y=-x+12
4
09
PYQ 2023
medium
mathematics ID: cuet-pg-
Match List-I and List-II
Choose the correct answer from the options given below:
| LIST I | LIST II | ||
| A. | Value of | I. | e3 |
| B. | Value of is | II. | 0 |
| C. | Value of is | III. | 1 |
| D. | Value of | IV. | e-1 |
Choose the correct answer from the options given below:
1
A-II, B-III, C-I, D-IV
2
A-II, B-IV, C-III, D-I
3
A-IV, B-II, C-III, D-I
4
A-IV, B-II, C-I, D-III
10
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements: One is lebelled as Assertion A and the other is labelled as Reason R.
Assertion A: f(x) = tan2x is continuous at x = π/2
Reason R: g(x) = x2 is continuous at x = π/2
In the light of the above statements, choose the correct answer from the options given below:
Assertion A: f(x) = tan2x is continuous at x = π/2
Reason R: g(x) = x2 is continuous at x = π/2
In the light of the above statements, choose the correct answer from the options given below:
1
Both A and R are true and R is the correct explanation of A
2
Both A and R are true but R is not the correct explanation of A
3
A is true but R is false
4
A is false but R is true
11
PYQ 2023
medium
mathematics ID: cuet-pg-
For , the solution(s) of is/are
A. π/4
B. π/6
C. π/12
D. 5π/12
Choose the correct answer from the options given below:
A. π/4
B. π/6
C. π/12
D. 5π/12
Choose the correct answer from the options given below:
1
A and B only
2
C and D only
3
A and C only
4
B and D only
12
PYQ 2023
medium
mathematics ID: cuet-pg-
If sin β is the GM between sin a and cos a, then cos 2β is equal to
1
2
3
4
13
PYQ 2023
easy
mathematics ID: cuet-pg-
The value of is
1
0
2
e
3
1/e
4
1
14
PYQ 2023
medium
mathematics ID: cuet-pg-
Let , a = a + a2+a4 and \beta = a3+ a5 +a6 then the equation whose root are \alpha , \beta is
1
x2+x+2=0
2
x2+x-2=0
3
x2-x-2=0
4
x2-x+2=0
15
PYQ 2023
medium
mathematics ID: cuet-pg-
Match List I with List II
| LIST I | LIST II | ||
| A. | sin z for |z|< ∞ | I. | (-1)n-1z2n-1/(2n-2)! |
| B. | cos z for |z|< ∞ | II. | (-1)n-1zn/n |
| C. | tan-1z for |z|<1 | III. | (-1)n-1z2n-1/(2n-1)! |
| D. | In(1+z) for | z|<1 | IV. | (-1)n-1z2n-1/(2n-1) |
Choose the correct answer from the options given below:
1
(A)-(II); (B)-(III); (C)-(IV); (D)-(I)
2
(A)-(I); (B)-(II); (C)-(IV); (D)-(III)
3
(A)-(III); (B)-(I); (C)-(IV); (D)-(II)
4
(A)-(III); (B)-(I); (C)-(II); (D)-(IV)
16
PYQ 2023
medium
mathematics ID: cuet-pg-
The polar form of the complex number z= is,
1
2
3
4
17
PYQ 2023
medium
mathematics ID: cuet-pg-
The direction cosines of x-axis, y-axis and z-axis, respectively are
1
2
3
4
18
PYQ 2023
medium
mathematics ID: cuet-pg-
The sum 12+22+ ... + M2, MEN is
1
Equal to
2
3
4
Equal to