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Quantitative Aptitude

TRIGONOMETRY MCQs

Total Questions : 420 | Page 3 of 42 pages
Question 21. The value of 152(sin30° + 2cos245° + 3sin30° + 4cos245° + ...... + 17sin30° + 18cos245°) is?
  1.    An integer but not perfect square
  2.    A rational number but not an integer
  3.    A perfect square of an integer
  4.    Irrational
 Discuss Question
Answer: Option C. -> A perfect square of an integer
Question 22. If $$x\sin {45^ \circ }$$  = $$y\operatorname{cosec} {30^ \circ },$$   then $$\frac{{{x^4}}}{{{y^4}}}$$  is equal to?
  1.    43
  2.    63
  3.    23
  4.    83
 Discuss Question
Answer: Option A. -> 43
Question 23. If tanθ + cotθ = 2, then the value if tan100θ + cot100θ is?
  1.    2
  2.    0
  3.    1
  4.    $$\sqrt 3 $$
 Discuss Question
Answer: Option A. -> 2
Question 24. If tan2α = 1 + 2tan2β (α, β are positive acute angles), then √2cosα - cosβ is equal to?
  1.    0
  2.    $$\sqrt 2 $$
  3.    1
  4.    -1
 Discuss Question
Answer: Option A. -> 0
Question 25. The value of, $${\text{sec}}\theta \left( {\frac{{1 + \sin \theta }}{{{\text{cos}}\theta }} + \frac{{{\text{cos}}\theta }}{{1 + \sin \theta }}} \right)$$      - $$2{\text{ta}}{{\text{n}}^2}\theta $$   is?
  1.    4
  2.    1
  3.    2
  4.    0
 Discuss Question
Answer: Option C. -> 2
Question 26. If tanθ - cotθ = 0 find the value of sinθ + cosθ ?
  1.    0
  2.    1
  3.    $$\sqrt 2 $$
  4.    2
 Discuss Question
Answer: Option C. -> $$\sqrt 2 $$
Question 27. If xsin60°.tan30° = sec60°.cot45° , then the value of x is?
  1.    2
  2.    $${\text{2}}\sqrt 3 $$
  3.    4
  4.    $${\text{4}}\sqrt 3 $$
 Discuss Question
Answer: Option C. -> 4
Question 28. If $$\frac{{2{{\tan }^2}{{30}^ \circ }}}{{1 - {{\tan }^2}{{30}^ \circ }}}$$   + $${\sec ^2}{45^ \circ }$$  - $${\sec ^2}{0^ \circ }$$  = $$x\sec {60^ \circ }{\text{,}}$$   then the value of x is?
  1.    2
  2.    1
  3.    0
  4.    -1
 Discuss Question
Answer: Option B. -> 1
Question 29. The value of $$\frac{{{\text{co}}{{\text{s}}^2}{{60}^ \circ } + 4{\text{se}}{{\text{c}}^2}{{30}^ \circ } - {\text{ta}}{{\text{n}}^2}{{45}^ \circ }}}{{{{\sin }^2}{{30}^ \circ } + {\text{co}}{{\text{s}}^2}{{30}^ \circ }}}$$      is?
  1.    $$\frac{{64}}{{\sqrt 3 }}$$
  2.    $$\frac{{55}}{{12}}$$
  3.    $$\frac{{67}}{{12}}$$
  4.    $$\frac{{67}}{{10}}$$
 Discuss Question
Answer: Option B. -> $$\frac{{55}}{{12}}$$
Question 30. If xsin60°.tan30° - tan245° = cosec60°.cot30° - sec245° then x = ?
  1.    2
  2.    -2
  3.    6
  4.    -4
 Discuss Question
Answer: Option A. -> 2

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