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Quantitative Aptitude

TRIGONOMETRY MCQs

Total Questions : 420 | Page 42 of 42 pages
Question 411. What is the value of [1 - tan(90° - θ) + sec(90° - θ)]/[tan(90° - θ) + sec(90° - θ) + 1]?
  1.    cot(θ/2)
  2.    tan(θ/2)
  3.    sin θ
  4.    cos θ
 Discuss Question
Answer: Option B. -> tan(θ/2)
Question 412. What is the value of [2cot(π – A)/2] / [1 + tan2(2π – A)/2]?
  1.    2sin2A/2
  2.    cosA
  3.    sinA
  4.    2cos2A/2
 Discuss Question
Answer: Option C. -> sinA
Question 413. What is the value of [(tan5θ + tan3θ)/4cos4θ (tan5θ – tan3θ)]?
  1.    sin2θ
  2.    cos2θ
  3.    tan4θ
  4.    cot2θ
 Discuss Question
Answer: Option B. -> cos2θ
Question 414. What is the simplified value of sin2A/(1 + cos2A)?
  1.    tanA
  2.    cotA
  3.    sinA
  4.    cosA
 Discuss Question
Answer: Option A. -> tanA
Question 415. Which one of the following is true for 0° < θ < 90°, θ ≠ 0°, 90° ?
  1.    cosθ > cos2θ
  2.    cosθ < cos2θ
  3.    cosθ ≥ cos2θ
  4.    cosθ ≤ cos2θ
 Discuss Question
Answer: Option A. -> cosθ > cos2θ
Question 416. What is the value of sin (90° + 2A)[4 - cos2(90° - 2A)]?
  1.    2(cos3A - sin3A)
  2.    2(cos3A + sin3A)
  3.    4(cos6A + sin6A)
  4.    4(cos6A - sin6A)
 Discuss Question
Answer: Option D. -> 4(cos6A - sin6A)
Question 417. What is the value of [(cos7A + cos5A) / (sin7A – sin 5A)]?
  1.    tan A
  2.    tan 4A
  3.    cot 4A
  4.    cot A
 Discuss Question
Answer: Option D. -> cot A
Question 418. What is the value of tan 6° tan 36° tan 84° tan 54° tan 45°?
  1.    1/2
  2.    1/√2
  3.    1
  4.    1/3
 Discuss Question
Answer: Option C. -> 1
Question 419. What is the simplified value of \({\left( {\frac{1}{{sec\;A\; + \;tan\;A\;}}} \right)^2}\)
  1.    secA + tanA
  2.    sinA cosA
  3.    (1 – sinA)/(1 + sinA)
  4.    (1 – cosA)/(1 + cosA)
 Discuss Question
Answer: Option C. -> (1 – sinA)/(1 + sinA)
Question 420. What is the simplified value of \(\sqrt {\frac{{cosec\;A - 1}}{{cosec\;A + 1}}} \) ?
  1.    cosec A
  2.    sec A – tan A
  3.    cosec 2A
  4.    tan A - cosec A
 Discuss Question
Answer: Option B. -> sec A – tan A

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