Trigonometry

Total Questions: 50

21. Find the least value of 16cosec²θ + 25sin²θ. [SSC CPO 04/10/2023 (3rd Shift)]

1. (a) 35
2. (b) 38
3. (c) 42
4. (d) 40

Correct Answer: (d) 40

Solution:

22. Find the value of [SSC CHSL 17/08/2023 (2nd Shift)]

1. (a) cosA
2. (b) tanA
3. (c) 1/sinA
4. (d) 1/cotA

Correct Answer: (a) cosA

Solution:

23. If sinθ + tanθ = p and tanθ - sinθ = q, then which of the relation satisfies for given values of p and q? [SSC CHSL 11/08/2023 (4th Shift)]

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

Correct Answer: (a)

Solution:

24. If θ an acute angle and sinθ cosθ = 2 cos³θ - 1/4 cosθ, then the value of sinθ is : [SSC CHSL 10/08/2023 (2nd Shift)]

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

Correct Answer: (b)

Solution:

25. Simplify the following: 7(cot 11⁰ cot 13⁰ cot 19⁰ cot 29⁰ cot 61⁰ cot 71⁰ cot 77⁰ cot79⁰) [SSC CHSL 09/08/2023 (3rd Shift)]

1. (a) 7
2. (b) -7
3. (c) -1
4. (d) 1

Correct Answer: (a) 7

Solution:

26. The given expression is equal to : [SSC CHSL 09/08/2023 (2nd Shift)]

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

Correct Answer: (a) 1

Solution:

27. If cot A + cos A = p and cot A - cos A = q, then which of the following relation is correct ? [SSC CHSL 03/08/2023 (4th Shift)]

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

Correct Answer: (c)

Solution:

28. The value of the following 4(sin⁶ A + cos⁶ A) - 6(sin⁴ A + cos⁴ A) + 8 is : [SSC CHSL 02/07/2023 (4th Shift)]

1. (a) 4
2. (b) 8
3. (c) 7
4. (d) 6

Correct Answer: (d) 6

Solution:

29. Evaluate the following: [SSC CGL 27/07/2023 (3rd Shift)]

1. (a) 2cosθ
2. (b) 2cos2θ
3. (c) sin2θ
4. (d) cos2θ

Correct Answer: (a) 2cosθ

Solution:

30. Find the value of [SSC CGL 21/07/2023 (2nd Shift)]

1. (a) sec 3θ - tan 3θ
2. (b) (sec 3θ - tan 3θ)³
3. (c) (sec 3θ - tan 3θ)²
4. (d) sec 3θ + tan 3θ

Correct Answer: (a) sec 3θ - tan 3θ

Solution:

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