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Quantitative Aptitude

TRIGONOMETRY MCQs

Total Questions : 420 | Page 41 of 42 pages
Question 401. If cot 60° + cosec 60° = x, then the value of x is
  1.    (1 - 2√2)/√2
  2.    (√3 - 4)/2√3
  3.    1
  4.    √3
 Discuss Question
Answer: Option D. -> √3
Question 402. The value of sin 10° sin 30° sin50° sin 70° will be -
  1.    4/25
  2.    1/16
  3.    1/8
  4.    3/16
 Discuss Question
Answer: Option B. -> 1/16
Question 403. Two supplementary angles are in the ratio 3:2
  1.    114°, 66°
  2.    108°, 72°
  3.    54°, 36°
  4.    33°, 57°
 Discuss Question
Answer: Option B. -> 108°, 72°
Question 404. What is the value of sin(630 + A) + cosA?
  1.    √3/2
  2.    1/2
  3.    0
  4.    2/√3
 Discuss Question
Answer: Option C. -> 0
Question 405. A Navy captain going away from a lighthouse at the speed of 4(√3 – 1) m/s
  1.    240√3
  2.    480(√3 – 1)
  3.    360√3
  4.    280√2
 Discuss Question
Answer: Option A. -> 240√3
Question 406. Two poles are ‘a’ meter apart and the height of one is thrice of the other
  1.    a/3 meter
  2.    a/√3 meter
  3.    2a√3 meter
  4.    a/(2√3) meter
 Discuss Question
Answer: Option D. -> a/(2√3) meter
Question 407. From a point, 40 m apart from the foot of a tower, the angle of elevation of its top is 60°
  1.    120√3 m
  2.    40/√3 m
  3.    40√3 m
  4.    40√2 m
 Discuss Question
Answer: Option C. -> 40√3 m
Question 408. If (cotA – tan A)/2 = x, then the value of x is
  1.    tan2A
  2.    cot2A
  3.    tan3A
  4.    cotA
 Discuss Question
Answer: Option B. -> cot2A
Question 409. A tree is 70 meters high
  1.    70√3
  2.    70(√3 - 1)
  3.    70(√3 + 1)
  4.    70
 Discuss Question
Answer: Option B. -> 70(√3 - 1)
Question 410. What is the value of [sin(90° - A) + cos(180° - 2A)] / [cos(90° - 2A) + sin(180° - A)]?
  1.    sin(A/2).cosA
  2.    cot(A/2)
  3.    tan(A/2)
  4.    sinA.cos(A/2)
 Discuss Question
Answer: Option C. -> tan(A/2)

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