## MATHEMATICS TRIGONOMETRY EQUATION QUIZ-5

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. The most general solution of tan⁡Î¸ =-1, cos⁡Î¸ = 1/√2 is
•  nÏ€ + (7Ï€)/4, n∈Z
•  n Ï€+(-1)n (7Ï€)/4,n∈Z
•  2nÏ€+ (7Ï€)/4,n∈Z
•  None of these
Solution

Q2.

•  cos⁡2A
•  8 cos⁡2A
•  1/8 cos⁡2A
•  None of these
Solution

Q3.

•  x2-1
•  √(x2-1)
•  √(x2+1)
•  x2+1
Solution

Q4. If sec⁡Î¸ + tan⁡Î¸=k, cos⁡Î¸ equals to
•
(k2+1)/2k
•
2k/(k2+1)
•
k/(k2+1)
•
k/(k2-1)
Solution

Q5.

•   3/5
•  -3/5
•   4/5
•  -4/5
Solution

Q6. We are given b,c and sin⁡B such that B is acute and b < c sin⁡B. Then,
•  No triangle is possible
•  One triangle is possible
•  Two triangles are possible
•  A right-angled triangle is possible
Solution

Q7.If a circle is inscribed in an equilateral triangle of side a, then area of the square inscribed in the circle is
•  a2/6
•  a2/3
•  (2a2)/5
•  (2a2)/3
Solution

Q8.

• Zero
•  One
•  Two
•  Three
Solution

Q9.The greatest value of cos⁡Î¸ for which cos⁡5Î¸=0, is
•  0
•
1+√5/4
•  √((5+√5)/8)
•  √((√5+1)/4)
Solution

Q10.

•  0
•  1
•  Infinite
•  None of these
Solution

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