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TRIGNOMETRIC RATIO AND IDENTITIES
Quiz-11

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.  Î±, Î²(Î± ≠ Î²) satisfy the equation acosÎ¸+bsinÎ¸=c, then the value of tan((Î±+Î²)/2), is
•  b/a
•  c/a
•  a/b
•  c/b
Solution
Q2. Total number of solutions of the equation 3x+2tanx=5Ï€/2 in x ∈ in[0, 2Ï€], is equal to Then,
•  1
•  2
•  3
•  4
Solution
(C)
Q3. The value of 6(sin6Î¸+cos6Î¸)-9 (sin4Î¸+cos4Î¸)+4is
• -3
•  0
•  1
•  3
Solution
Q4. sin47°+sin61°-sin11°-sin25° is equal to
•  sin7°
•  cos7°
•  sin36°
•  cos36°
Solution
Q5. If Î±, Î² ∈ (0, Ï€/2), sinÎ±=4/5 and cos(Î±+Î²)=-12/13, then sinÎ² is equal to
•  63/65
•  61/65
•  3/5
•  5/13
Solution
Q6.
•  cosÎ¸
•  cotÎ¸
•  tanÎ¸
•  sinÎ¸
Solution
Q7. If sinÎ¸+cosÎ¸=2cosÎ¸ then cosÎ¸-sinÎ¸ is equal to

•  √2cosÎ¸
•  √2sinÎ¸
•  √2(cosÎ¸ + sinÎ¸)
•  None of these
Solution 7
Q8. The smallest value of 5cosÎ¸ +12   is

•  5
•  12
•  7
•  17
Solution
Q9. The maximum value of 12sinÎ¸-9sin2Î¸ is
•  3
•  4
•  5
•  None of these
Solution
Q10.If the equation cos3x+cos2x=sin(3x/2)+sin(x/2), 0 ≤ x ≤ 2Ï€, then the number of values of x is
•  6
•  7
•  4
•  5
Solution

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