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Quantitative Aptitude

TRIGONOMETRY MCQs

Total Questions : 420 | Page 9 of 42 pages
Question 81. If θ be a positive acute angle satisfying cos2θ + cos4θ = 1, then the value of tan2θ + tan4θ is?
  1.    $$\frac{3}{2}$$
  2.    1
  3.    $$\frac{1}{2}$$
  4.    0
 Discuss Question
Answer: Option B. -> 1
Question 82. The angles of a triangle are (x + 5)°, (2x - 3)° and (3x + 4)°. Then the value of x is?
  1.    30
  2.    31
  3.    29
  4.    28
 Discuss Question
Answer: Option C. -> 29
Question 83. If $${\text{tan}}\theta = \frac{4}{3}{\text{,}}$$   then the value of $$\frac{{3\sin \theta + 2{\text{cos}}\theta }}{{3\sin \theta - 2{\text{cos}}\theta }}$$   is?
  1.    0.5
  2.    -0.5
  3.    3.0
  4.    -3.0
 Discuss Question
Answer: Option C. -> 3.0
Question 84. The simplified value of (secA - cosA)2 + (cosecA - sinA)2 - (cotA - tanA)2
  1.    0
  2.    $$\frac{1}{2}$$
  3.    1
  4.    2
 Discuss Question
Answer: Option C. -> 1
Question 85. The expression $$\frac{{\tan {{57}^ \circ } + \cot {{37}^ \circ }}}{{\tan {{33}^ \circ } + \cot {{53}^ \circ }}}$$    is equal to?
  1.    tan30° cot57°
  2.    tan57° cot37°
  3.    tan33° cot 53°
  4.    tan33° cot37°
 Discuss Question
Answer: Option B. -> tan57° cot37°
Question 86. The value of $$\frac{{\cot {{30}^ \circ } - \cot {{75}^ \circ }}}{{\tan {{15}^ \circ } - \tan {{60}^ \circ }}}$$    is?
  1.    0
  2.    1
  3.    $$\sqrt 3 - 1$$
  4.    -1
 Discuss Question
Answer: Option D. -> -1
Question 87. If $${\text{se}}{{\text{c}}^2}\theta + {\text{ta}}{{\text{n}}^2}\theta = \frac{7}{{12}}{\text{,}}$$     then $${\text{se}}{{\text{c}}^4}\theta $$  - $${\text{ta}}{{\text{n}}^4}\theta $$   = ?
  1.    $$\frac{7}{{12}}$$
  2.    $$\frac{1}{2}$$
  3.    $$\frac{7}{2}$$
  4.    1
 Discuss Question
Answer: Option A. -> $$\frac{7}{{12}}$$
Question 88. The numerical value of $$\frac{5}{{{\text{se}}{{\text{c}}^2}\theta }}$$  + $$\frac{2}{{1 + {\text{co}}{{\text{t}}^2}\theta }}$$  + $${\text{3}}{\sin ^2}\theta $$   is?
  1.    5
  2.    2
  3.    3
  4.    4
 Discuss Question
Answer: Option A. -> 5
Question 89. The numerical value of $$\left( {\frac{1}{{\cos \theta }} + \frac{1}{{\cot \theta }}} \right)$$   $$\left( {\frac{1}{{\cos \theta }} - \frac{1}{{\cot \theta }}} \right)$$   is?
  1.    0
  2.    -1
  3.    1
  4.    2
 Discuss Question
Answer: Option C. -> 1
Question 90. The value of cos1° cos2° cos3° ............. cos177° cos178° cos179° is?
  1.    0
  2.    $$\frac{1}{2}$$
  3.    1
  4.    $$\frac{1}{{\sqrt 2 }}$$
 Discuss Question
Answer: Option A. -> 0

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