Trigonometry · SSC CGL previous year questions

2023 85 questions

1. Q542023 · 14 Jul 2023 · Shift 2

   Evaluate the following. sin 25° sin 65° – cos 25° cos 65°.

   1. A.40
   2. B.4
   3. C.0
   4. D.1
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   Answer: C

2. Q642023 · 14 Jul 2023 · Shift 2

   Evaluate the following: cos(36° + A).cos(36° - A) + cos(54° + A).cos(54° - A)

   1. A.sin 2A
   2. B.cos A
   3. C.sin A
   4. D.cos 2A
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   Answer: D

3. Q722023 · 14 Jul 2023 · Shift 2

   What is the value of ${\sec }^{2}54^{\circ }-{\cot }^{2}36^{\circ }+\frac{3}{2}{\sin }^{2}37^{\circ }\times {\sec }^{2}53^{\circ }+\frac{2}{\sqrt{3}}\tan 60^{\circ }$?

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

   Answer: B

4. Q532023 · 14 Jul 2023 · Shift 3

   If sin 23° = , then the value of sec 23° - sin 67° is __________.

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
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   Answer: D

5. Q602023 · 14 Jul 2023 · Shift 3

   Two friends P and Q simultaneously start running from same point around a circular track. They run in the same direction. P runs at 6 m/sec and Q runs at b m/sec. If they cross each other at exactly two points on the circular track and b is a natural number less than 6, then how many values can b take?

   1. A.2
   2. B.1
   3. C.4
   4. D.3
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   Answer: B

6. Q672023 · 14 Jul 2023 · Shift 3

   If $\frac{\cos \beta }{\sec \alpha }=15$ and $\frac{\sin \beta }{\sec \alpha }=16$, then the value of ${\sin }^2\beta$ is ________.

   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
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   Answer: A

7. Q682023 · 14 Jul 2023 · Shift 3

   What is the value of sin 30° + cos 30° + tan 30°

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
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   Answer: A

8. Q692023 · 14 Jul 2023 · Shift 3

   If sec2 θ + tan2 θ = , then the value of sec4 θ - tan4 θ is:

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
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   Answer: D

9. Q632023 · 14 Jul 2023 · Shift 4

   If sec θ + tan θ = 5, (θ ≠ 0), then sec θ is equal to:

   
   1. A.Option 1
   2. B.Option 2
   3. C.Option 3
   4. D.Option 4
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   Answer: C

10. Q672023 · 14 Jul 2023 · Shift 4

    If sec θ + cos θ = 32, then sec2 θ+ cos2 θ is ______.

    1. A.1000
    2. B.1022
    3. C.1024
    4. D.1020
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    Answer: B