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Quantitative Aptitude

TRIGONOMETRY MCQs

Total Questions : 420 | Page 8 of 42 pages
Question 71. The minimum value of 2sin2θ + 3cos2θ is ?
  1.    0
  2.    3
  3.    2
  4.    1
 Discuss Question
Answer: Option C. -> 2
Question 72. Maximum value of (2sinθ + 3cosθ) is?
  1.    2
  2.    $$\sqrt {13} $$
  3.    $$\sqrt {15} $$
  4.    1
 Discuss Question
Answer: Option B. -> $$\sqrt {13} $$
Question 73. The equation $${\cos ^2}\theta $$  = $$\frac{{{{\left( {x + y} \right)}^2}}}{{4xy}}$$   is only possible when ?
  1.    x = -y
  2.    x > y
  3.    x = y
  4.    x < y
 Discuss Question
Answer: Option C. -> x = y
Question 74. The greatest value of sin4θ + cos4θ is?
  1.    2
  2.    3
  3.    $$\frac{1}{2}$$
  4.    1
 Discuss Question
Answer: Option D. -> 1
Question 75. Which one of the following is true for 0° < θ < 90° ?
  1.    cosθ ≤ cos2θ
  2.    cosθ < cos2θ
  3.    cosθ > cos2θ
  4.    cosθ ≥ cos2θ
 Discuss Question
Answer: Option C. -> cosθ > cos2θ
Question 76. If $$\cos \pi x = {x^2} - x + \frac{5}{4}{\text{,}}$$     then the value of x will be ?
  1.    0
  2.    1
  3.    -1
  4.    None of the above
 Discuss Question
Answer: Option D. -> None of the above
Question 77. If θ be an acute angle and 7sin2θ + 3cos2θ = 4, then the value of tanθ is?
  1.    $$\sqrt 3 $$
  2.    $$\frac{1}{{\sqrt 3 }}$$
  3.    1
  4.    0
 Discuss Question
Answer: Option B. -> $$\frac{1}{{\sqrt 3 }}$$
Question 78. The measure of the angles of a triangle are in the ratio 2 : 7 : 11. Measures of angles are ?
  1.    16°, 56°, 88°
  2.    18°, 63°, 99°
  3.    20°, 70°, 90°
  4.    25°, 175°, 105°
 Discuss Question
Answer: Option B. -> 18°, 63°, 99°
Question 79. If $$\sin \frac{{\pi x}}{2} = {x^2} - 2x + 2,$$     the value of x is?
  1.    0
  2.    1
  3.    -1
  4.    None of these
 Discuss Question
Answer: Option B. -> 1
Question 80. If tan θ = 1, then the value of $$\frac{{8\sin \theta + 5\cos \theta }}{{{{\sin }^3}\theta - 2{{\cos }^3}\theta + 7\cos \theta }}$$     is?
  1.    2
  2.    $${\text{2}}\frac{1}{2}$$
  3.    3
  4.    $$\frac{4}{5}$$
 Discuss Question
Answer: Option A. -> 2

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