## MATHEMATICS TRIGONOMETRY EQUATION QUIZ-6

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.
•  Ï€/3
•  Ï€/4
•  Ï€/2
•  Ï€/6
Solution

Q2.The value of sin⁡(Ï€+Î¸) sin⁡(Ï€-Î¸)cosec2 Î¸ is equal to
•  -1
•   0
•   sin⁡Î¸
•   None of these
Solution

Q3.  If cos⁡20°=k and cos x=2k2-1, then the possible values of x between 0° and 360° are
•  140° and 270°
•  40° and 140°
•  40° and 320°
•  50° and 130°
Solution

Q4. The number of roots of the equation x+2tan⁡x=Ï€/2 in the interval [0,2 Ï€], is
•  1
•  2
•  3
•  Infinite
Solution

Q5.

•  a,b,c are in A.P.
•  a2,b2,c2 are in A.P.
•  a,b,c are in H.P.
•  a2,b2,c2 are in H.P.
Solution

Q6. If a=Ï€/18 rad, then cos⁡a+cos⁡2a+...+cos⁡18a is equal to
•  0
•  -1
•  1
•  ±1
Solution

Q7.cos4Î¸-sin4⁡Î¸ is equal to
• 1+2 sin2(Î¸/2)
•  2 cos2Î¸-1
•  1-2 sin2(Î¸/2
•  1+2 cos2Î¸
Solution

Q8.

• (2n+1)Ï€/4
•  (2n-1)Ï€/4
•  nÏ€/4
•  None of these
Solution

Q9.

•  1/4
•  1/3
•  3
•  4
Solution

Q10. The solution of equation cos2Î¸+sin⁡Î¸+1=0 lies in the interval
•  (-Ï€/4,Ï€/4)
•  (Ï€/4,3Ï€/4)
•  (3Ï€/4,5Ï€/4)
•  (5Ï€/4,7Ï€/4)
Solution

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