## MATHEMATICS TRIGONOMETRY RATIOS & IDENTITIES 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. If A+B=Ï€/4, then (tan⁡A+1 )(tan⁡B+1) is equal to
•   1
•   2
•  √3
•  -1
Solution

Q2.In a triangle the length of the two larger sides are 24 and 22, respectively. If the angles are in AP, then the third side is
•  12+2√13
•  12-2√13
•  2√13+2
•  2√13-2
Solution

Q3.  The number of solutions of the equation 1+ sin⁡x sin2x/2=0 in [-Ï€,Ï€] is
•  zero
•  one
•  Two
•  Three
Solution

Q4. In tan⁡Î¸+sec⁡Î¸=√3,0 < Î¸ < Ï€, then Î¸ is equal to
•  5Ï€/6
•  2Ï€/3
•  Ï€/6
•  Ï€/3
Solution

Q5.The number of values of x for which sin⁡2x+cos⁡4x=2, is
•  0
•  1
•  2
•  Infinite
Solution

Q6.

•  No real solution
•  One real solution
•  More than one real solutions
•  None of the above
Solution

Q7.{x∈R:cos2x+ 2cos2x=2 } is equal to
• {2nÏ€ + Ï€/3:n∈Z}
•  {nÏ€±Ï€/6:n∈Z}
•  {nÏ€+Ï€/3:n∈Z}
•  {2nÏ€-Ï€/3:n∈Z}
Solution

Q8.If sin⁡A+cos⁡A=m and sin3⁡A+cos3⁡A=n, then
• m3-3m+n=0
•  n3-3n+2m=0
•  m3-3m+2n=0
•  m3+3m+2n=0
Solution

Q9.

•  Ï€/3 (6k+1),k∈Z
•  Ï€/3 (6k-1),k∈Z
•  Ï€/3 (2k+1),k∈Z
•  None of these
Solution

Q10.

•  2 coth-1(cosec2 x/2-1)
•  2 coth-1⁡(cosec2 x/2+1)
•  2 cosech-1⁡(cot2 x/2-1)
•  2 cosech-1(cot2x/2+1)
Solution

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