## MATHEMATICS TRIGONOMETRY-EQUATION QUIZ-2

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.

•  60°
•  90°
•  120°
•  135°
Solution
No solution available

Q2.

•
(b-c)(d-b)/(a-d)(c-a)
•
(a-d)(c-a)/(b-c)(d-b)
•
(d-a)(c-a)/(b-c)(d-b)
•
(b-c)(b-d)/(a-c)(a-d)
Solution

Q3.  If A,B,C,D are the angles of a cyclic quadrilateral, then cos⁡A+cos⁡B+cos⁡D is equal to
•  2(cos⁡A+cos⁡C)
•  2(cos⁡A+cos⁡B)
•  2(cos⁡A+cos⁡D)
•  0
Solution
Q4. If cot⁡(Î±+Î²)=0,then sin⁡(Î±+2Î²) is equal to
•  sin⁡Î±
•  cos⁡Î±
•  sin⁡Î²
•  cos⁡2Î²
Solution

Q5.The number of points of intersection of 2y=1 and y=sin⁡x, in -2Ï€≤x≤2Ï€ is
•  1
•  2
•  3
•  4
Solution

Q6. If R is the radius of circumscribing circle of a regular polygon of n-sides, then R=
•  a/2 sin⁡(Ï€/n)
•  a/2cos⁡(Ï€/n)
•  a/2cosec(Ï€/n)
•  a/2 cosec(Ï€/2n)
Solution
No solution available

Q7.If cos⁡x≠-1/2, then the solutions of cos⁡x+cos⁡2x+cos⁡3x=0 are
•  2nÏ€ ± Ï€/4,n∈Z
•  2nÏ€ ± Ï€/3,n∈Z
•  2nÏ€ ± Ï€/6,n∈Z
•  2nÏ€ ± Ï€/2,n∈Z
Solution

Q8.If cos2Î¸=cos⁡2Î¸, then the general value of Î¸ is
•  nÏ€
•  2nÏ€
•  nÏ€/3
•  nÏ€/2
Solution

Q9.If sin⁡3Î¸=4sin⁡Î¸ (sin2⁡x-sin2⁡Î¸), Î¸≠n Ï€,n∈Z. Then, the set of values of x is
•  {n Ï€±Ï€/3 ∶ n∈Z}
•  {n Ï€±(2 Ï€)/3 ∶ n∈Z}
•  {n Ï€±Ï€/2 ∶ n∈Z}
•  {n Ï€±Ï€/4 ∶ n∈Z}
Solution

Q10. The solution of the equation cos2⁡x-2 cos⁡〖x=4 sin⁡x-sin⁡2x(0≤x≤Ï€) is
•  Ï€- cot-11/2
•  Ï€- tan-1⁡2
•  Ï€+ tan-1⁡(-1/2)
•  None of these
Solution

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