Trigonometry · SSC CGL previous year questions

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2023 85 questions

Q532023 · 21 Jul 2023 · Shift 1
If sec A + tan A = 3, then cos A is equal to:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q552023 · 21 Jul 2023 · Shift 1
Which of the following options is NOT a correct trigonometric identity?
1. A.1 + cot2θ ≡ cosec2θ
2. B.1 + tan2θ ≡ sec2θ
3. C.1 - sin2θ ≡ cos2θ
4. D.cos2θ - sin2θ ≡ 1
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Answer: D
Q602023 · 21 Jul 2023 · Shift 1
What is the value of sec2θ - cot2(90°- θ)?
1. A.2
2. B.1
3. C.-1
4. D.0
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Answer: B
Q752023 · 21 Jul 2023 · Shift 1
What is the difference between the total production of Cotton and Khadi? Note: Ignore negative sign, if any
1. A.10
2. B.11
3. C.8
4. D.7
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Answer: C
Q732023 · 21 Jul 2023 · Shift 2
The value of tan 25° tan 35° tan 45° tan 55° tan 65° is:
1. A.2
2. B.1
3. C.√3
4. D.0
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Answer: B
Q752023 · 21 Jul 2023 · Shift 2
The value of sec x - cos x = ?
1. A.tan x sin x
2. B.sec x tan x
3. C.tan x cos x
4. D.sec x cos x
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Answer: A
Q652023 · 21 Jul 2023 · Shift 3
If $\frac{c o s α}{s i n β} = 10$ and $\frac{c o s α}{c o s β} = 11$ , then the value of $cos^{2} β$ is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q512023 · 21 Jul 2023 · Shift 4
If 8 cot A = 7, find sin A.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q542023 · 20 Jul 2023 · Shift 1
If sin x = , then what is the value of tan x + cot x = ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q662023 · 20 Jul 2023 · Shift 1
cosec 2910° + sec 4260° + tan 2565° + cot 1755° = ?
1. A.3
2. B.1
3. C.4
4. D.0
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Answer: C
Q662023 · 20 Jul 2023 · Shift 2
The following expression is equal to. cot 85°+ cos 75°
1. A.tan 85°+ sin 75°
2. B.tan 5°+ sin 15°
3. C.tan 85°- sin 75°
4. D.tan 5°- sin 15°
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Answer: B
Q702023 · 20 Jul 2023 · Shift 2
Find the value of sin (50 + θ) - cos (40 - θ).
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q662023 · 20 Jul 2023 · Shift 3
The maximum value of (sin12θ + cos20θ) for all the real values of θ is:
1. A.2
2. B.3
3. C.1
4. D.0
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Answer: C
Q672023 · 20 Jul 2023 · Shift 3
Find the value of tan2 60° + 3 cos2 30° − 2 sec2 30° − cot2 60°.
1. A.2.33
2. B.2.01
3. C.1.33
4. D.3.33
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Answer: C
Q752023 · 20 Jul 2023 · Shift 3
What is the value of sin(−405°)?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q542023 · 20 Jul 2023 · Shift 4
What is the value of sec2 A - tan2 A?
1. A.0
2. B.cot2 A
3. C.1
4. D.sin2 A
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Answer: C
Q652023 · 19 Jul 2023 · Shift 1
Find the value of (sin θ + cos θ)2 + (sin θ - cos θ)2.
1. A.4
2. B.0
3. C.2
4. D.1
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Answer: C
Q582023 · 19 Jul 2023 · Shift 2
If secθ = 4/3, what is the value of tan²θ + tan⁴θ?
1. A.112/81
2. B.256/81
3. C.64/27
4. D.16/81
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Answer: A
Q612023 · 19 Jul 2023 · Shift 2
Using , find the value of .
1. A.2 + √3
2. B.2 − √3
3. C.√3 − 1
4. D.√3 + 1
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Answer: A
Q622023 · 19 Jul 2023 · Shift 2
If P cos α = 3 and 4 tan α = Q, then what is the relation between P and Q, which is independent of α?
1. A.9/P² + 16/Q² = 1
2. B.9/P² − 16/Q² = 1
3. C.P²/9 − Q²/16 = 1
4. D.P²/9 + Q²/16 = 1
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Answer: C
Q632023 · 19 Jul 2023 · Shift 2
In △ABC, the internal bisectors of ∠B and ∠C meet at O. If ∠BAC = 72°, then the value of ∠BOC is:
1. A.110°
2. B.126°
3. C.136°
4. D.146°
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Answer: B
Q742023 · 19 Jul 2023 · Shift 3
If 2 Cot x = 5, then what is (2 Cos x - Sin x) / (2 Cos x + Sin x) equal to?
1. A.3/4
2. B.1/3
3. C.5/6
4. D.2/3
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Answer: D
Q532023 · 19 Jul 2023 · Shift 4
If cos x + sin x = √2 cos x, what is the value of (cos x - sin x)2 + (cos x + sin x)2?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q582023 · 19 Jul 2023 · Shift 4
The value of cos232° - sin258° is:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q592023 · 19 Jul 2023 · Shift 4
The following figure shows the different expenses that are incurred in manufacturing toys. If the total expenditure is Rs. 3,00,000, then how much expenditure was incurred on Material Cost and Selling Expenses (in Rs.)?
1. A.1,20,000
2. B.1,15,000
3. C.1,29,000
4. D.84000
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Answer: C