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Quantitative Aptitude

TRIGONOMETRY MCQs

Total Questions : 420 | Page 1 of 42 pages
Question 1. The value of the expression:
sin21° + sin211° + sin221° + sin231° + sin241° + sin245° + sin249° + sin259° + sin269° + sin279° + sin289° is?
  1.    0
  2.    $${\text{5}}\frac{1}{2}$$
  3.    $${\text{4}}\frac{1}{2}$$
  4.    5
 Discuss Question
Answer: Option B. -> $${\text{5}}\frac{1}{2}$$
Question 2. If cos20° = m and cos70° =n, then the value of m2 + n2 is?
  1.    $$\frac{1}{2}$$
  2.    1
  3.    $$\frac{3}{2}$$
  4.    $$\frac{1}{{\sqrt 2 }}$$
 Discuss Question
Answer: Option B. -> 1
Question 3. If $${\text{sin}}\left( {{{90}^ \circ } - \theta } \right)$$   + $${\text{cos}}\theta $$  = $$\sqrt 2 {\text{cos}}\left( {{{90}^ \circ } - \theta } \right){\text{,}}$$    then the value of $${\text{cosec}}\theta $$   is?
  1.    $$\frac{1}{{\sqrt 3 }}$$
  2.    $$\frac{2}{3}$$
  3.    $$\sqrt {\frac{3}{2}} $$
  4.    $$\frac{1}{{\sqrt 2 }}$$
 Discuss Question
Answer: Option C. -> $$\sqrt {\frac{3}{2}} $$
Question 4. If $${\text{sin A}} - \cos {\text{A}}$$   = $$\frac{{\sqrt 3 - 1}}{2}{\text{,}}$$   then the value of $${\text{sin A}}.{\text{cosA}}$$   is?
  1.    $$\frac{1}{{\sqrt 3 }}$$
  2.    $$\frac{{\sqrt 3 }}{2}$$
  3.    $$\frac{1}{4}$$
  4.    $$\frac{{\sqrt 3 }}{4}$$
 Discuss Question
Answer: Option D. -> $$\frac{{\sqrt 3 }}{4}$$
Question 5. If $$\frac{{{{\sec }^2}{{70}^ \circ } - {\text{co}}{{\text{t}}^2}{{20}^ \circ }}}{{2\left( {{\text{cose}}{{\text{c}}^2}{{59}^ \circ } - {{\tan }^2}{{31}^ \circ }} \right)}}$$     = $$\frac{2}{m}{\text{,}}$$  then m is equal to?
  1.    2
  2.    3
  3.    4
  4.    1
 Discuss Question
Answer: Option C. -> 4
Question 6. $$\frac{{{\text{tan}}\theta + \cot \theta }}{{{\text{tan}}\theta - \cot \theta }} = 2,$$   $$\left( {0 \leqslant \theta \leqslant {{90}^ \circ }} \right),$$   then the value of $$\sin \theta $$  is?
  1.    $$\frac{2}{{\sqrt 3 }}$$
  2.    $$\frac{{\sqrt 3 }}{2}$$
  3.    $$\frac{1}{2}$$
  4.    1
 Discuss Question
Answer: Option B. -> $$\frac{{\sqrt 3 }}{2}$$
Question 7. $$\frac{{\sin \theta + \cos \theta }}{{{\text{sin}}\theta - \cos \theta }} = 3,$$    then the value of $${\sin ^4}\theta - {\text{co}}{{\text{s}}^4}\theta $$    is?
  1.    $$\frac{1}{5}$$
  2.    $$\frac{3}{5}$$
  3.    $$\frac{2}{5}$$
  4.    $$\frac{4}{5}$$
 Discuss Question
Answer: Option B. -> $$\frac{3}{5}$$
Question 8. If $${\text{tan}}\left( {\frac{\pi }{2} - \frac{\theta }{2}} \right) = \sqrt 3 $$     the value of cosθ is?
  1.    0
  2.    $$\frac{1}{{\sqrt 2 }}$$
  3.    $$\frac{1}{2}$$
  4.    1
 Discuss Question
Answer: Option C. -> $$\frac{1}{2}$$
Question 9. If A = tan11°. tan29°, B = 2cot61°. cot79° then -
  1.    A = 2B
  2.    A = -2B
  3.    2A = B
  4.    2A = -B
 Discuss Question
Answer: Option C. -> 2A = B
Question 10. If tan15° = 2 - $$\sqrt 3 ,$$  then the value of tan15° cot75° + tan75° cot15° is?
  1.    14
  2.    12
  3.    10
  4.    8
 Discuss Question
Answer: Option A. -> 14

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