## MATHEMATICS TRIGONOMETRY RATIOS AND IDENTITIES 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 solution set of the inequation log_(1/2)⁡sin⁡x>log_(1/2)⁡cos⁡x in [0,2Ï€], is
•  (0,Ï€/2)
•  (-Ï€/4,Ï€/4)
•  (0,Ï€/4)
•  None of these
Solution

Q2.If Î± and Î² satisfying 2 sec⁡2Î±=tan⁡Î²+cot⁡Î² , then Î±+Î² is equal to
•  Ï€/2
•  Ï€/3
•  Ï€/4
•  Ï€
Solution

Q3.

•  √3/4
•  3/4
•  4/3
•  4/√3
Solution

Q4.

•  -3
•  -2
•   1
•   None of these
Solution

Q5.If k=sin6⁡x+cos6⁡x, then k belongs to the interval
•  [7/8,5/4]
•  [1/2,5/8]
•  [1/4,1]
•  None of these
Solution

Q6. The minimum value of 9 tan2⁡Î¸+4cot2⁡Î¸ is
•  13
•  9
•  6
•  12
Solution

Q7.If sin⁡A+cos B=a and sin⁡B+cos⁡A=b, then sin⁡(A+B) is equal to
• (a2+b2)/2
•  (a2- b2+2)/2
•  (a2+b2-2)/2
•  None pf these
Solution

Q8.sin⁡120° cos⁡150°-cos⁡240° sin⁡330° is equal to
•   1
•  -1
•    2/3
•  -((√3+1)/4)
Solution

Q9.In a ∆ABC,a,b,A are given and c2,c2 are two values of the third side c. The sum of the areas of two triangles with sides a,b,c1 and a,b,c2 is
•  (1/2) b2 sin⁡2 A
•  (1/2) a2 sin⁡2 A
•  b2 sin⁡2 A
•  None of these
Solution
No solution available

Q10. If Î±,Î² are the solutions of a tan⁡Î¸+b sec⁡Î¸=c, then tan⁡(Î±+Î²)〗=
•  (2 ac)/(a2-c2 )
•  (2 ac)/(c2-a2 )
•  (2 ac)/(a2+c2 )
•  (ac)/(a2+c2 )
Solution

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