Trigonometry · SSC CGL previous year questions

2022 82 questions

1. Q632022 · 13 Dec 2022 · Shift 1

   If sec2A + tan2A = 3, then what is the value of cot A?

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: C

2. Q632022 · 13 Dec 2022 · Shift 2

   What is the value of cosec 15° sec 15°?

   1. A.0.5
   2. B.4
   3. C.2
   4. D.1
   Show answer

   Answer: B

3. Q532022 · 13 Dec 2022 · Shift 4

   If tan (α + β) = a, tan (α - β) = b, then the value of tan 2α is :

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: A

4. Q572022 · 12 Dec 2022 · Shift 1

   If cosec θ + cot θ = p, then the value of $\frac{p^2-1}{p^2+1}$ is:

   1. A.cos θ
   2. B.sin θ
   3. C.cot θ
   4. D.cosec θ
   Show answer

   Answer: A

5. Q602022 · 12 Dec 2022 · Shift 1

   What is the value of the expression cos 2A cos 2B + sin2(A - B) - sin2(A + B)?

   1. A.sin (2A − 2B)
   2. B.sin (2A + 2B)
   3. C.cos (2A + 2B)
   4. D.cos (2A − 2B)
   Show answer

   Answer: C

6. Q702022 · 12 Dec 2022 · Shift 1

   Find the value of tan 27° tan 34° + tan 34° tan 29° + tan 29° tan 27°.

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: D

7. Q512022 · 12 Dec 2022 · Shift 2

   If sin2 θ − 3 sin θ + 2 = 0, then find the value of θ (0° ≤ θ ≤ 90°).

   1. A.45°
   2. B.0°
   3. C.60°
   4. D.90°
   Show answer

   Answer: D

8. Q642022 · 12 Dec 2022 · Shift 3

   Find the value of secθ - tanθ, if secθ + tanθ = .

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
   Show answer

   Answer: C

9. Q732022 · 12 Dec 2022 · Shift 3

   If 2 sinθ + 2 sin2θ = 2, then the value of 2 cos4θ + 2 cos2θ is:

   1. A.4
   2. B.2
   3. C.1
   4. D.0
   Show answer

   Answer: B

10. Q512022 · 12 Dec 2022 · Shift 4

    The given table shows the number of new employees joined in different categories of employees in an organisation and also the number of employees from these categories who left the organisation every year since the foundation of the organisation in 2015. Study the table and answer the question that follows. Year Business Analysts Accountants Sales Representatives Peons Joined Left Joined Left Joined Left Joined Left 2015 80 0 35 0 50 0 73 0 2016 63 21 26 16 46 20 34 23 2017 78 28 15 5 38 15 48 29 2018 42 39 20 38 34 0 14 12 2019 67 44 14 24 22 30 21 30 During the years given, what is the difference between the total number of Business Analysts who joined the organisation and the total number of Sales Representatives who joined the organisation?

    
    1. A.142
    2. B.143
    3. C.141
    4. D.140
    Show answer

    Answer: D

11. Q582022 · 12 Dec 2022 · Shift 4

    If $\sec A=\frac{5}{4}$, then the value of $\frac{\tan A}{1+{\tan }^{2}A}-\frac{\sin A}{\sec A}$ is:

    1. A.2
    2. B.1
    3. C.0
    4. D.3
    Show answer

    Answer: C

12. Q662022 · 12 Dec 2022 · Shift 4

    If sin A = 4/5, then what is the value of sin2 A?

    1. A.26/25
    2. B.36/25
    3. C.48/25
    4. D.16/25
    Show answer

    Answer: D

13. Q512022 · 9 Dec 2022 · Shift 1

    cos3 60 - cos3 240 - cos3 360 = _______.

    
    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: A

14. Q632022 · 9 Dec 2022 · Shift 1

    If 5 sin2A + 3 cos2 A = 4, 0<A<900, then what is the value of tan A?

    1. A.0
    2. B.3
    3. C.1
    4. D.2
    Show answer

    Answer: C

15. Q712022 · 9 Dec 2022 · Shift 1

    What is the value of sin 28° sin 35° sin 45° sec 62° sec 55°?

    
    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: B

16. Q552022 · 9 Dec 2022 · Shift 2

    If $\tan A=\frac{2}{3}$, then find sinA.

    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: B

17. Q642022 · 9 Dec 2022 · Shift 3

    The table given below shows the cost of two fruits in five different shops. Fruits Shops A B P 75 140 Q 120 90 R 50 35 S 70 85 T 95 96 What is the difference between the cost of fruits A and B in all five shops together?

    
    1. A.24
    2. B.36
    3. C.20
    4. D.48
    Show answer

    Answer: B

18. Q712022 · 9 Dec 2022 · Shift 3

    If $2\frac{{\cos }^{2}x-{\sec }^{2}x}{{\tan }^{2}x}=a+b\cos 2x$, then a, b = ?

    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: C

19. Q532022 · 9 Dec 2022 · Shift 4

    What is the value of sin 75° + sin 15°?

    
    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: C

20. Q582022 · 9 Dec 2022 · Shift 4

    If cosec θ + cot θ = 2, then what is the value of cosec θ?

    
    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: A

21. Q652022 · 9 Dec 2022 · Shift 4

    If b cos θ = a, then cosecθ + cotθ = _________.

    
    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: C

22. Q512022 · 8 Dec 2022 · Shift 1

    If sin Y = x, then what will be the value of cos 2Y (where 0 ≤ Y ≤ 90°)?

    1. A.(√2 - 1)x
    2. B.√2x
    3. C.1 - 2x
    4. D.1 - 2x2
    Show answer

    Answer: D

23. Q642022 · 8 Dec 2022 · Shift 1

    If A + B = C, then tan A tan B tan C = ?

    1. A.tan C + tan A - tan B
    2. B.tan C + tan A + tan B
    3. C.tan A - tan B - tan C
    4. D.tan C - tan A - tan B
    Show answer

    Answer: D

24. Q712022 · 8 Dec 2022 · Shift 1

    If x = 8(sin θ + cos θ) and y = 9(sin θ - cos θ), then the value of $\frac{x^2}{8^2}+\frac{y^2}{9^2}$ is:

    1. A.4
    2. B.6
    3. C.8
    4. D.2
    Show answer

    Answer: D

25. Q622022 · 8 Dec 2022 · Shift 2

    If cot , then the value of sin A = ?

    
    1. A.Option 1
    2. B.Option 2
    3. C.Option 3
    4. D.Option 4
    Show answer

    Answer: A