Trigonometry – SSC CGL 2017 Tier 1 previous year questions

Here is the compilation of all previous year question of Trigonometry SSC CGL 2017 – Quantitative aptitude with answers.

Question 1 )

Options:
1) tan A
2) cot A
3) sin A
4) cos A

Correct Answer: tan A

Question 2 )

Question:3) What is the simplified value of 1 + tan A tan (A/2)?[08-AUG-2017 Shift-1]

Options:
1) sin A/2
2) cos A
3) sec A
4) sin A

Correct Answer: sec A

Question 4 )

Options:
1) 1
2) cosec θ
3) 0
4) cos θ

Correct Answer: 0

Question 5)

Options:
1) sin θ
2) 1 – sin 2θ
3) 1 + sin 2θ
4) 1 – sinθ

Correct Answer: 1 – sin 2θ

Question:6)If 5 sec θ – 3 tan θ = 5, then what is the value of 5 tan θ – 3 sec θ?[08-AUG-2017 Shift-2]

Options:
1) 1
2) 2
3) 3
4) 4

Correct Answer: 3

Question 7 )


Options:
1) 2√3
2) √3
3) 1/√3
4) Cannot be determined

Correct Answer: √3

Question:8)If sin θ + sin 5θ = sin 3θ and 0 < θ < (π/2), then what is the value of θ (in degrees)?[08-AUG-2017 Shift-3]

Options:
1) 30
2) 45
3) 60
4) 75

Correct Answer: 30

Question:9)What is the simplified value of cosec 2A + cot 2A?[09-AUG-2017 Shift-1]

Options:
1) sec A
2) sec (A/2)
3) cot A
4) cot2 A

Correct Answer: cot A

Question 10 )


Options:
1) 0
2) 1
3) 8
4) 9

Correct Answer: 0

Question:11)What is the simplified value of (sec A + cos A)(sec A – cos A)?[09-AUG-2017 Shift-2]

Options

Question 13)

Question 14)

Options:
1) –1
2) 0
3) 1
4) 2

Correct Answer: 1

Question 15 )

Options:
1) cosec A – cot A
2) sec A – tan A
3) sec 2 A
4) sec A cosec A

Correct Answer: cosec A – cot A

Question:16)    If tan A = 1/2 and tan B = 1/3, then what is the value of tan (2A + B)?[10-AUG-2017 Shift-3]

Options:
1) 1
2) 3
3) 5
4) 9

Correct Answer: 3

Question 16)

Options:
1) –1
2) 0
3) 1
4) 2

Correct Answer: 1

Question:17) If sec (3x – 20°) = cosec (3y + 20°), then what is the value of tan (x + y)?[11-AUG-2017 Shift-1]

Options:
1) 1
2) √3
3) 1/√3
4) 2√3

Correct Answer: 1/√3

Question:18) If cot A = n/(n + 1) and cot B = 1/(2n + 1), then what is the value of cot (A + B)?[11-AUG-2017 Shift-1]

Options:
1) – 1
2) 0
3) 1
4) 2

Correct Answer: – 1

Question:19)What is the simplified value of (1– sin A cos A)(sin A + cos A)?[11-AUG-2017 Shift-2]

Options

Question 20 )

Options:
1) tan A
2) sec A
3) sec A + tan A
4) sec A – tan A

Correct Answer: sec A – tan A

Question 21 )

Options:
1) sin A cos A
2) tan A + cot A
3) sin 2A
4) tan A cot A

Correct Answer: tan A + cot A

Question:22) What is the value of [1/(1 – tan θ)] – [1/(1 + tan θ)]?[11-AUG-2017 Shift-3]

Options:
1) tan θ
2) cot 2θ
3) tan 2θ
4) cot θ

Correct Answer: tan 2θ

Question:23) If tan θ + cot θ = x, then what is the value of tan4 θ + cot4 θ?[11-AUG-2017 Shift-3]

Options:
1) (x3 – 3)2 + 2
2) (x4 – 2x) + 4
3) x(x – 4) + 2
4) x2(x2 – 4) + 2

Correct Answer: x2(x2 – 4) + 2

Question:24)If tan2 θ + cot2 θ = 2, then what is the value of 2sec θ cosec θ?[11-AUG-2017 Shift-3]

Options:
1) 0
2) 1
3) 2
4) 4

Correct Answer: 4

Question:25) What is the value of sin (–π/3) + cos(–π/6)?[12-AUG-2017 Shift-1]

Options:
1) 0
2) 1
3) 2
4) 3

Correct Answer: 0

Question 26)

Options:
1) – 2
2) 0
3) 1
4) 2 

Correct Answer: 2

Question 27 )

Options:
1) 0
2) 1
3) 2
4) 3

Correct Answer: 2

Question:28) What is the simplified value of (cosec A + sin A)(cosec A – sin A)?[12-AUG-2017 Shift-2]

Options:

Correct Answer –

Question 29 )

Options:
1) cosec A
2) √2 cosec A
3) 2 sec2A
4) sec A

Correct Answer: √2 cosec A

Question 30 )

Options:
1) sin A + cos A
2) 1 + sin 2A
3) 1 + cos 2A
4) tan A + cot A

Correct Answer: 1 + sin 2A

Question:31) What is the simplified value of [2/(cot A – tan A)]?[12-AUG-2017 Shift-3]

Correct Answer : tan 2A

Question 32 )

Options:
1) cosec A
2) sec A – tan A
3) cosec 2A
4) tan A – cosec A

Correct Answer: sec A – tan A

Question 33 )

Options:
1) –1
2) –1/2
3) 0
4) 1

Correct Answer: 0

Question:34)  What is the value of [sec θ/(sec θ – 1)] + [sec θ/(sec θ + 1)] ?[16-AUG-2017 Shift-1]

Options:
1) 2 sin2 θ
2) 2(1 + tan2 θ)
3) 2 cosec2 θ
4) sin2 θ

Correct Answer: 2 cosec2 θ

Question:35)What is the simplified value of sec6 A – tan6 A – 3 sec2 A tan2 A?[16-AUG-2017 Shift-2]

Options:
1) –1
2) 0
3) 1
4) sec A tan A

Correct Answer: 1

Question:36) What is the simplified value of (cosec A – sin A)(sec A – cos A)(tan A + cot A)?[16-AUG-2017 Shift-2]

Options:
1) –1
2) 0
3) 1
4) 2

Correct Answer: 1

Question:37) What is the simplified value of (cos4 A – sin4 A)?[16-AUG-2017 Shift-2]

Options:
1) 0
2) 2 cos2 A
3) cos 2A
4) 1

Correct Answer: cos 2A

Question:38) If cosec2 θ = 625/576, then what is the value of [(sin θ – cos θ)/(sin θ + cos θ)]?[16-AUG-2017 Shift-3]

Options:
1) 1
2) 31/17
3) 17/31
4) 14/25

Correct Answer: 17/31

Question 39)

Options:
1) 1/2
2) 5/2
3) 0
4) Both 1/2 and 5/2

Correct Answer: Both 1/2 and 5/2

Question 40) If cot A = [sin B/(1 – cos B)], then what is the value of cot 2A?[16-AUG-2017 Shift-3]

Options:
1) cot(B/2)
2) cot 2B
3) cot B
4) tan B

Correct Answer: cot B

Question:41) What is the value of Tan 45° + 4/√3 Sec 60°?[17-AUG-2017 Shift-1]

Options:
1) (√3 + 8)/√3
2) (√3 + 8)/3
3) (√3 – 8)/√3
4) (√3 – 8)/3

Correct Answer: (√3 + 8)/√3

Question:42) If Sin θ = 20/29, then what is the value of Cos θ?[17-AUG-2017 Shift-1]

Options:
1) 29/21
2) 21/29
3) 21/20
4) 20/29

Correct Answer: 21/29

Question:43)What is the value of Tan 60o + Cosec 60o?[17-AUG-2017 Shift-2]

Options:
1) 5/3
2) 2/√3
3) 5/√3
4) 2/3

Correct Answer: 5/√3

Question: 44) Δ XYZ is right angled at Y. If m∠Z = 60°, then what is the value of (1/√2) Sec X?[17-AUG-2017 Shift-2]

Options:
1) 2/√3
2) 1/√6
3) 1/√3
4) 2/√6

Correct Answer: 2/√6

Question:45)If Cosec θ = 17/8, then what is the value of Cos θ?[17-AUG-2017 Shift-2]

Options:
1) 15/8
2) 15/17
3) 8/15
4) 17/15

Correct Answer: 15/17

Question:46) What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?[17-AUG-2017 Shift-3]

Options:
1) (√6 + 1)/√3
2) √3
3) (1 + 3√2)/√3
4) (3 + 2√2)/3√2

Correct Answer: (3 + 2√2)/3√2       

Question:47)Δ ABC is right angled at B. If m∠A = 60°, then what is the value of sec C.sin A?[17-AUG-2017 Shift-3]

Options:
1) 2/√3
2) √3/2
3) 2/3
4) 1

Correct Answer: 1

Question:48) If Tan θ = 7/24, then what is the value of Sec θ?[17-AUG-2017 Shift-3]

Options:
1) 24/25
2) 24/7
3) 25/7
4) 25/24

Correct Answer: 25/24

Question:49) What is the value of √2 Sec 45 – Tan 30?[18-AUG-2017 Shift-1]

Options:
1) (2√3 – 1)/3
2) (√3 – 1)/√3
3) (2√3 – 1)/√3
4) (√3 – 1)/3

Correct Answer: (2√3 – 1)/√3

Question:50) ΔABC is right angled at B. If m ∠A = 60°, then what is the value of 1/√3 Cosec C?[18-AUG-2017 Shift-1]

Options:
1) 2/√3
2) 2/3
3) √2/√3
4) √2/3

Correct Answer: 2/√3

Question:51) If Cosec θ = 25/7 , then what is the value of Cot θ?[18-AUG-2017 Shift-1]

Options:
1) 24/25
2) 7/24
3) 7/25
4) 24/7

Correct Answer: 24/7

Question:52) What is the value of Cot 60 – Sec 30?[18-AUG-2017 Shift-2]

Options:
1) -1/3
2) -1/√3
3) 1/√3
4) 1/3

Correct Answer: -1/√3

Question:53)If Cot θ = 24/7, then what is the value of Sec θ?[18-AUG-2017 Shift-2]

Options:
1) 7/25
2) 25/24
3) 8/25
4) 9/25

Correct Answer: 25/24

Question:54) What is the value of √2 Sec 45° + (1/√3)Tan 30°?[18-AUG-2017 Shift-3]

Options:
1) (1 + √3)/2
2) (1 + 3√2)/√3
3) 7/3
4) (3 + 2√2)/3√2

Correct Answer: 7/3

Question:55) If Cos θ = 15/17 , then what is the value of Cosec θ?[18-AUG-2017 Shift-3]

Options:
1) 17/8
2) 8/17
3) 8/15
4) 17/15

Correct Answer: 17/8

Question:56) What is the value of Sin 30o – √2 Cos 30o?[19-AUG-2017 Shift-1]

Options:
1) (1 – √6)/√2
2) (1 – √6)/2
3) (3 – √6)/2
4) (3 – √6)/√2

Correct Answer: (1 – √6)/2

Question:57) If Sec θ = 13/12, then what is the value of Sin θ?[19-AUG-2017 Shift-1]

Options:
1) 5/13
2) 12/5
3) 12/13
4) 5/12

Correct Answer: 5/13

Question:58) What is the value of Sin 60° + (1/2)Cosec 45°?[19-AUG-2017 Shift-2]

Options:
1) (√3 + 2)/2
2) (√3 + √2)/√2
3) (√3 + 2)/√2
4) (√3 + √2)/2

Correct Answer: (√3 + √2)/2

Question:59) If Cos θ = 35/37, then what is the value of Cosec θ?[19-AUG-2017 Shift-2]

Options:
1) 37/12
2) 33/12
3) 35/12
4) 12/35

Correct Answer: 37/12

Question:60) What is the value of (1/2) Sec 30° + √2 Tan 60°?[19-AUG-2017 Shift-3]

Options:
1) (1 + 3√2)/√3
2) (√3 + 2)/√3
3) √3 + 2
4) (√3 + 2)/2

Correct Answer: (1 + 3√2)/√3

Question:61)If Sec θ = 25/24 , then what is the value of Sin θ?[19-AUG-2017 Shift-3]

Options:
1) 24/25
2) 7/25
3) 24/7
4) 25/7

Correct Answer: 7/25

Question:62) What is the value of Sin 30° + Cos 30°?[20-AUG-2017 Shift-1]

Options:
1) (√6 + 1)/√3
2) (√3 + 2)/√3
3) (1 + √3)/2
4) 5/√3

Correct Answer: (1 + √3)/2

Question:63)If Sin θ = 12/13, then what is the value of Cot θ?[20-AUG-2017 Shift-1]

Options:
1) 13/12
2) 5/13
3) 5/12
4) 13/5

Correct Answer: 5/12

Question:64)What is the value of Tan 45° – 1/√3 Sec 60°?[20-AUG-2017 Shift-2]

Options:
1) (1 – 2√3)/2
2) (√2 – √3)/√6
3) (3 – 2√3)/3
4) (1 – 2√2)/2

Correct Answer: (3 – 2√3)/3

Question:65) If Sin θ = 20/29 , then what is the value of Sec Sin θ ?[20-AUG-2017 Shift-2]

Options:
1) 29/21
2) 29/20
3) 21/20
4) 21/29

Correct Answer: 29/21

Question:66) What is the value of Cot 45° + Cosec 60°?[20-AUG-2017 Shift-3]

Options:
1) (√6 + 1)/√3
2) (1 + √3)/2
3) 5/√3
4) (√3 + 2)/√3

Correct Answer: (√3 + 2)/√3

Question:67)If Tan θ = 4/3, then what is the value of Sin θ?[20-AUG-2017 Shift-3]

Options:
1) 1.25
2) 0.8
3) 4/3
4) 3/4

Correct Answer: 0.8

Question:68) What is the value of 2 Sec 45o + Tan 30o ?[21-AUG-2017 Shift-1]

Options:
1) (2√6 + 1)/√3
2) √3
3) (2√2 + 3)/√6
4) (9 + 2√3)/9

Correct Answer: (2√6 + 1)/√3

Question:69)If Cosec θ = 25/7 , then what is the value of Cos θ?[21-AUG-2017 Shift-1]

Options:
1) 25/24
2) 7/24
3) 24/25
4) 7/25

Correct Answer: 24/25

Question:70) What is the value of Cot 60o – Sec 45o ?[21-AUG-2017 Shift-2]

Options:
1) (√2 – √3)/√6
2) (√3 – 3√2)/3
3) (1 – 2√2)/2
4) (1 – √3)/2

Correct Answer: (√3 – 3√2)/3

Question:71) If Cot θ = 24/7, then Sin θ = ?[21-AUG-2017 Shift-2]

Options:
1) 24/25
2) 8/25
3) 7/25
4) 9/25

Correct Answer: 7/25

Question:72) What is the value of Cot 60o – Cos 45o?[21-AUG-2017 Shift-3]

Options:
1) (9 – 2√3)/9
2) (2√6 – 1)/√3
3) (1 – 2√3)/2
4) (√2 – √3)/√6

Correct Answer: (√2 – √3)/√6

Question:73)If Tan θ = 9/40, then Sec θ = ?[21-AUG-2017 Shift-3]

Options:
1) 40/41
2) 9/41
3) 41/40
4) 41/9 Correct Answer: 41/40

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