Sail E0 Webinar

Quantitative Aptitude

TRIGONOMETRY MCQs

Total Questions : 420 | Page 4 of 42 pages
Question 31. The numerical value of 1 + $$\frac{1}{{{\text{co}}{{\text{t}}^2}{{63}^ \circ }}}$$  - $${\text{se}}{{\text{c}}^2}{27^ \circ }$$  + $$\frac{1}{{{{\sin }^2}{{63}^ \circ }}}$$  - $${\text{cose}}{{\text{c}}^2}{27^ \circ }$$   is?
  1.    1
  2.    2
  3.    -1
  4.    0
 Discuss Question
Answer: Option D. -> 0
Question 32. The value of $$\frac{1}{{\sqrt 2 }}{\text{sin}}\frac{\pi }{6}$$ . $${\text{cos}}\frac{\pi }{4}$$ - $$\cot \frac{\pi }{3}$$ . $${\text{sec}}\frac{\pi }{6}$$ + $$\frac{{5\tan \frac{\pi }{4}}}{{12\sin \frac{\pi }{2}}}$$   is equal to?
  1.    0
  2.    1
  3.    2
  4.    $$\frac{3}{2}$$
 Discuss Question
Answer: Option A. -> 0
Question 33. If $$x{\sin ^2}{60^ \circ }$$  - $$\frac{3}{2}{\text{sec}}{60^ \circ }$$ . $${\text{ta}}{{\text{n}}^2}{30^ \circ }$$  + $$\frac{4}{5}{\sin ^2}{45^ \circ }$$ . $${\text{ta}}{{\text{n}}^2}{60^ \circ }$$  = 0, then x is?
  1.    $$ - \frac{1}{{15}}$$
  2.    -4
  3.    $$ - \frac{4}{{15}}$$
  4.    -2
 Discuss Question
Answer: Option C. -> $$ - \frac{4}{{15}}$$
Question 34. If 0° < A < 90°, then the value of tan2A + cot2A - sec2A cosec2A is?
  1.    0
  2.    1
  3.    2
  4.    -2
 Discuss Question
Answer: Option D. -> -2
Question 35. If α and β are positive acute angles, sin(4α - β) = 1 and cos(2α + β) = $$\frac{1}{2}{\text{,}}$$ then the value of sin(α + 2β) is?
  1.    0
  2.    1
  3.    $$\frac{{\sqrt 3 }}{2}$$
  4.    $$\frac{1}{{\sqrt 2 }}$$
 Discuss Question
Answer: Option D. -> $$\frac{1}{{\sqrt 2 }}$$
Question 36. If θ is a positive acute angle and 4cos2θ - 1 = 0, then the value of tan(θ - 15°) is equal to?
  1.    0
  2.    1
  3.    $$\sqrt 3 $$
  4.    $$\frac{1}{{\sqrt 3 }}$$
 Discuss Question
Answer: Option B. -> 1
Question 37. The value of $$\frac{{\sin {{25}^ \circ }.\cos {{65}^ \circ } + \cos {{25}^ \circ }.\sin {{65}^ \circ }}}{{{{\tan }^2}{{70}^ \circ } - {\text{cose}}{{\text{c}}^2}{{20}^ \circ }}}$$       is?
  1.    -1
  2.    0
  3.    1
  4.    2
 Discuss Question
Answer: Option A. -> -1
Question 38. Find the value of the following 3(sin4θ + cos4θ) + 2(sin6θ + cos6θ) + 12sin2θ.cos2θ = ?
  1.    3
  2.    2
  3.    0
  4.    5
 Discuss Question
Answer: Option D. -> 5
Question 39. If $$\theta + \phi = \frac{\pi }{2}$$   and $$\sin \theta = \frac{1}{2},$$   then the value of $${\text{sin}}\phi $$  is?
  1.    1
  2.    $$\frac{1}{{\sqrt 2 }}$$
  3.    $$\frac{1}{2}$$
  4.    $$\frac{{\sqrt 3 }}{2}$$
 Discuss Question
Answer: Option D. -> $$\frac{{\sqrt 3 }}{2}$$
Question 40. The numerical value of $$\frac{{{\text{co}}{{\text{s}}^2}{{45}^ \circ }}}{{{{\sin }^2}{{60}^ \circ }}}$$  + $$\frac{{{\text{co}}{{\text{s}}^2}{{60}^ \circ }}}{{{{\sin }^2}{{45}^ \circ }}}$$  - $$\frac{{{\text{ta}}{{\text{n}}^2}{{30}^ \circ }}}{{{\text{co}}{{\text{t}}^2}{{45}^ \circ }}}$$  - $$\frac{{{{\sin }^2}{{30}^ \circ }}}{{{\text{co}}{{\text{t}}^2}{{30}^ \circ }}}$$  is?
  1.    $$\frac{3}{4}$$
  2.    $$\frac{1}{4}$$
  3.    $$\frac{1}{2}$$
  4.    $${\text{1}}\frac{1}{4}$$
 Discuss Question
Answer: Option A. -> $$\frac{3}{4}$$

Latest Videos
Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)
Direction Sense Test Part 1 Reasoning (Hindi)
Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE
Cube & Cuboid Part 1 Reasoning (Hindi)
Data Interpretation (DI) Basic Concept Reasoning (Hindi)
Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)
Sail E0 free webinar Webinars
Real Numbers Part 7 Class 10 Maths
Real Numbers Part 1 Class 10 Maths
Polynomials Part 1 Class 10 Maths

Latest Test Papers

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI
Tabulation - Test Paper 2 Data Interpretation Reasoning & DI
Test Paper 1 Direction Sense Test Reasoning & DI
ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0
GFM Combined 1 Free Revision Test SAIL JO E-0