Trigonometry · SSC CGL previous year questions

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2023 85 questions

Q542023 · 26 Jul 2023 · Shift 3
If , then the value of cos2x + sec2x will be ________.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q612023 · 26 Jul 2023 · Shift 3
tan 4384° + cot 6814° = ?
1. A.-1
2. B.2
3. C.0
4. D.1
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Answer: C
Q732023 · 26 Jul 2023 · Shift 3
If b = 5, determine the value of an expression using an identity.
1. A.25726
2. B.15626
3. C.15438
4. D.25636
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Answer: B
Q512023 · 26 Jul 2023 · Shift 4
In 1 km linear race, P beats Q by 120 metres or 30 sec. What is the time taken by P to cover the race?
1. A.220 sec
2. B.250 sec
3. C.235 sec
4. D.240 sec
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Answer: A
Q562023 · 26 Jul 2023 · Shift 4
If A = 22.5°, what is the value of (10√2 sin 2A - 7√2 cos 2A + 9 tan 2A)?
1. A.12
2. B.15
3. C.10
4. D.6
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Answer: A
Q682023 · 26 Jul 2023 · Shift 4
sin 600° cos 750° + sin 150° cos 240° = ?
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q522023 · 25 Jul 2023 · Shift 1
Using cosec , find the value of cosec75°.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q622023 · 25 Jul 2023 · Shift 1
If tan α = 6, then sec α equals to:
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q742023 · 25 Jul 2023 · Shift 1
If cot A = 1, sin B = , then find the value of sin(A + B) - cot(A + B).
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q512023 · 25 Jul 2023 · Shift 2
Find the value of tan (−1125°).
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: C
Q522023 · 25 Jul 2023 · Shift 2
The following pie charts show the data of the number of appeared and passed students of class 12 in sections A, B, C, D and E. Find the difference between the number of students who appeared for the exam in sections A and B.
1. A.60
2. B.30
3. C.50
4. D.40
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Answer: D
Q642023 · 25 Jul 2023 · Shift 2
The length, breadth and height of a hall are 10 m, 20 m and 15 m respectively. Find the cost of whitewashing the walls of the inside of the hall and ceiling at the rate of Rs. 10.20/m2
1. A.Rs. 13,394
2. B.Rs. 11,220
3. C.Rs. 15,320
4. D.Rs. 16,542
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Answer: B
Q682023 · 25 Jul 2023 · Shift 3
What is the value of 5√3 cos 60° tan 30° - 3 cos 0° + 3 cos2 45° + 2 sin2 60°?
1. A.2√3
2. B.2.5
3. C.3.5
4. D.3√2
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Answer: B
Q742023 · 25 Jul 2023 · Shift 3
If r = 15 (sin θ + cos θ) and s = 16 (sin θ - cos θ), then the value of $\frac{r ^{2}}{1 5 ^{2}} + \frac{s ^{2}}{1 6 ^{2}}$ is ______.
1. A.8
2. B.6
3. C.4
4. D.2
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Answer: D
Q552023 · 25 Jul 2023 · Shift 4
If cos(40° + x) = sin 30°, then the value of x is:
1. A.22°
2. B.20°
3. C.19°
4. D.23°
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Answer: B
Q622023 · 25 Jul 2023 · Shift 4
Find (1 / sinθ) - sinθ.
1. A.Cosθ cotθ
2. B.cosθ secθ
3. C.cosθ cosecθ
4. D.cosθ tanθ
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Answer: A
Q562023 · 24 Jul 2023 · Shift 1
If 2 cot θ = 3, then find 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
Q582023 · 24 Jul 2023 · Shift 1
Find the value of the given expression. 2 + cos 49° cos 41° − sin 49° sin 41°
1. A.2
2. B.−1
3. C.0
4. D.1
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Answer: A
Q742023 · 24 Jul 2023 · Shift 1
Using the identity tan2α = , find the value of tan 15°, correct to three decimal places. [Use √3 = 1.732]
1. A.0.268
2. B.0.27
3. C.0.267
4. D.0.269
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Answer: A
Q562023 · 24 Jul 2023 · Shift 3
If $tan x = \frac{7}{5}$ , then the value of $\frac{9 s i n x - \frac{42}{5} c o s x}{15 s i n x + 21 c o s x}$ is:
1. A.0
2. B.1
3. C.0.1
4. D.0.5
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Answer: C
Q592023 · 24 Jul 2023 · Shift 3
In a 200-m linear race, if A gives B a start of 25 m, then A wins the race by 10 seconds. Alternatively, if A gives B a start of 45 m, the race ends in a dead heat. How long does A take to run 200m?
1. A.78 seconds
2. B.77 seconds
3. C.78.5 seconds
4. D.77.5 seconds
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Answer: D
Q712023 · 24 Jul 2023 · Shift 3
If sin θ + cosec θ = , then the value of sin3 θ + cosec3 θ = ___________.
1. A.Option 1
2. B.Option 2
3. C.Option 3
4. D.Option 4
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Answer: D
Q722023 · 24 Jul 2023 · Shift 3
If cosec θ + cot θ = , 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
Q592023 · 24 Jul 2023 · Shift 4
If acot θ = b, 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
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