Trigonometry · SSC CGL previous year questions

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2022 82 questions

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
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Answer: B
Q712022 · 9 Dec 2022 · Shift 3
If $2 \frac{c o s ^{2} x - s e c ^{2} x}{t a n ^{2} x} = a + b cos 2 x$ , then a, b = ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
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
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Answer: C
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
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Answer: A
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
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Answer: C
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
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Answer: D
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
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Answer: D
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
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Answer: D
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
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Answer: A
Q632022 · 8 Dec 2022 · Shift 2
What is the value of tan 6° × tan 45° × tan 84°?
1. A.1
2. B.tan 6° × tan 39°
3. C.3
4. D.tan 6° + tan 45° + tan 84°
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Answer: A
Q662022 · 8 Dec 2022 · Shift 2
If sin θ - cos θ = , then find the value of sin θ + cos θ.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q642022 · 8 Dec 2022 · Shift 3
θ = 135°; γ = 15°. What is the value of 2 cos(θ) sin(γ)?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q662022 · 8 Dec 2022 · Shift 3
If sec x – cos x = 4, then what will be the value of ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q742022 · 8 Dec 2022 · Shift 3
In a ∆ABC, AD, BE and CF are the medians from vertices A, B and C, respectively. The point of intersection of AD, BE and CF is called ______.
1. A.median point
2. B.orthocentre
3. C.centroid
4. D.incentre
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Answer: C
Q702022 · 8 Dec 2022 · Shift 4
If $tan A tan B + \frac{c o s x}{c o s A c o s B} = 1$ , then x = ?
1. A.B
2. B.A
3. C.A + B
4. D.A - B
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Answer: C
Q512022 · 7 Dec 2022 · Shift 1
In Δ XYZ, ∠X = 90°, YZ = 15 cm, and XZ = 12 cm. Then find Cos Y.
1. A.2/5
2. B.4/5
3. C.3/5
4. D.3/4
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Answer: C
Q542022 · 7 Dec 2022 · Shift 1
In a 1500 m race, if vehicle P gives vehicle Q a start of 200 m, then vehicle P wins the race by 8 sec. Alternatively, if vehicle P gives vehicle Q a start of 400 m, the race ends in a dead heat. How long does vehicle P take to run 1500 m?
1. A.44 sec
2. B.45 sec
3. C.40 sec
4. D.60 sec
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Answer: A
Q552022 · 7 Dec 2022 · Shift 1
If tan A - tan B - tan C = tan A tan B tan C, what is the value of A in terms of B and C?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: A
Q632022 · 7 Dec 2022 · Shift 1
if tan2 α = 3 + Q2, then sec α + tan3 α cosec α = ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q582022 · 7 Dec 2022 · Shift 2
What is the value of cos 45° sin 15°?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q702022 · 7 Dec 2022 · Shift 2
If 1 + sin θ = m cos θ, then what is the value of sin θ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q662022 · 7 Dec 2022 · Shift 3
cos(30° + θ) - sin(60° - θ) = _______.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: B
Q692022 · 7 Dec 2022 · Shift 3
Find the value of the following expression. 5 (sin4 θ + cos4 θ) + 3(sin6 θ + cos6 θ) + 19sin2 θ cos2 θ
1. A.8
2. B.5
3. C.6
4. D.7
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Answer: A
Q742022 · 7 Dec 2022 · Shift 3
If sin θ = , then what is tan θ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q512022 · 7 Dec 2022 · Shift 4
If $4 tan θ = 3$ , then $\frac{4 s i n θ - c o s θ + 1}{4 s i n θ + c o s θ - 1} =$ ______.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D