Trigonometry

Total Questions: 50

1. Find the value of tan 72⁰ - tan 27⁰ - tan 72⁰ tan 27⁰. [SSC CGL 25/09/2024 (2nd Shift)]

1. (a) -1
2. (b) 1
3. (c) -2
4. (d) 0

Correct Answer: (b) 1

Solution:

2. Simplify [SSC CGL 24/09/2024 (3rd Shift)]

1. (a)
2. (b)
3. (c)
4. (d)

Correct Answer: (d)

Solution:

3. The value of the expression [SSC CGL 19/09/2024 (2nd Shift)]

1. (a)
2. (b)
3. (c)
4. (d)

Correct Answer: (b)

Solution:

4. SinA SinB = _______ . [SSC CGL 18/09/2024 (3rd Shift)]

1. (a)
2. (b)
3. (c)
4. (d)

Correct Answer: (d)

Solution:

5. If asin³x + bcos³ x = sin x cos x and asinx = bcosx ,then find the value of a² + b², provided that x is neither 0⁰ nor 90⁰ . [SSC CGL 11/09/2024 (1st Shift)]

1. (a) 0
2. (b) 1
3. (c) a² - b²
4. (d) a² + b²

Correct Answer: (b) 1

Solution:

6. If p cos A = 2q sinA and 2p cosecA - q secA = 3, then tha value of p² + 4q² is: [SSC CGL 10/09/2024 (2nd Shift)]

1. (a) 2
2. (b) 4
3. (c) 1
4. (d) 3

Correct Answer: (b) 4

Solution:

7. If tanA + sinA = x, tanA - sinA = y, what is the value of x² - y² ? [SSC CGL 11/07/2024 (2nd Shift)]

1. (a)
2. (b)
3. (c)
4. (d)

Correct Answer: (a)

Solution:

8. What is the value of [SSC CHSL 11/07/2024 (2nd Shift)]

1. (a)
2. (b)
3. (c)
4. (d)

Correct Answer: (d)

Solution:

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9. If f (p) = sinᵖ ⁺ ² x + cosᵖ ⁺ ² x, then the value of 6f (2) - 4f (4) + 10f (0) is: [SSC CHSL 10/07/2024 (2nd Shift)]

1. (a) 12
2. (b) 10
3. (c) 11
4. (d) 14

Correct Answer: (a) 12

Solution:

10. If tan A = a tan B and sin A = b sinB, then the value of cos²A is: [SSC CHSL 05/07/2024 (1st Shift)]

1. (a)
2. (b)
3. (c)
4. (d)

Correct Answer: (b)

Solution:

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