## MATHEMATICS TRIGONOMETRY EQUATION QUIZ-3

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.

Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1.
•  2n Ï€+2 tan-1k,k∈R,n∈Z
•  2n Ï€+2 tan-1k, where k∈(0,1),n∈Z
•  2n Ï€+2 tan-1k, where k∈(1,2),n∈Z
•  2n Ï€+2 tan-1k, k∈(2,3),n∈Z
Solution

Q2.The expression tan⁡9°-tan⁡27°-tan⁡63°+tan⁡81° is equal to
•  4
•  3
•  2
•  1
Solution

Q3. In a ∆ABC,
sin⁡A+sin⁡B+sin⁡C =1+√2
and,cos⁡A+cos⁡B+cos⁡C =√2
if, the triangle is
•  Equilateral
•  Isosceles
•  Right angled
•  Right angled isosceles
Solution

Q4.
•  Î¸ is an acute angle
•  Î¸ is a right angle
•  Î¸ is an obtuse angle
•  No value of Î¸ is possible
Solution

Q5.Set a,b∈[-Ï€,Ï€] be such that cos⁡(a-b)=1and cos⁡(a+b)=1/e. The number of pairs of a,b satisfying the above system of equations is
•  0
•  1
•  2
•  4
Solution
No solution available

Q6.

•  all real x
•  x2≤2
•  x2>2
•  None of these
Solution

Q7.

• sec⁡ x/2
•  sec⁡x
•  cosec x
•  1
Solution

Q8.

•   1
•  -1
•   a0
•   1/a0
Solution

Q9.
•  Ï€/3
•  Ï€/3,cos-1⁡(3/5)
•  cos-1(3/5)
•  Ï€/3,Ï€-cos-1(3/5)
Solution

Q10.

•  cos⁡Î¸
•  cos⁡2Î¸
•  sin⁡Î¸
•  sin⁡2Î¸
Solution

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