## MATHEMATICS TRIGONOMETRY RATIOS & IDENTITIES QUIZ-3

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. sinh-12+sinh-1⁡3 =x ⇒ cosh⁡x is equal to
•  1/2(3√5+2√10)
•  1/2(3√5-2√10)
•  1/2(12+2√50)
•  1/2(12-2√50)
Solution

Q2.If Î± and Î² be between 0 and Ï€/2 and if cos⁡(Î±+Î²)=12/13 and sin⁡(Î±-Î²)=3/5, then sin⁡2Î± is equal to
•  64/65
•  56/65
•  0
•  16/15
Solution

Q3.  The value of cos⁡1°cos⁡2°cos⁡3°…cos⁡100°is equal to
•  1
•  -1
•  0
•  None of these
Solution

Q4. The most general solutions of the equation sec⁡x-1=(√2-1) tan⁡x are given by
•  nÏ€+Ï€/8
•  2nÏ€,2nÏ€+Ï€/4
•  2nÏ€
•  None of these
Solution

Q5.

•  Ï€/6,Ï€/3
•  Ï€/3,Ï€/2
•  5Ï€/6,Ï€/3
•  2Ï€/3,Ï€/3
Solution

Q6. The value of cos⁡(270°+Î¸) cos⁡(90°-Î¸)-sin⁡(270°-Î¸) cos⁡Î¸ is
•   0
•  -1
•   1/2
•   1
Solution

Q7.If tan⁡Î¸+tan⁡(Î¸+Ï€/3)+tan⁡(Î¸+2Ï€/3) =3, then which of the following is equal to 1?
• tan⁡2Î¸
•  tan⁡3Î¸
•  tan⁡2Î¸
•  tan⁡3Î¸
Solution

Q8.If in a ∆ABC,
sin3A+sin3B+sin3C=3 sin⁡A sin⁡B sin⁡C, then

•  0
•  (a+b+c)3
•  (a+b+c)(ab+bc+ca)
•  None of these
Solution

Q9.If sin⁡x+sin2⁡x=1, then cos12x+3cos10⁡x+3cos8⁡x+cos6x is equal to
•  1
•  2
•  3
•  0
Solution
Q10. If 0 < x < Ï€/2, then the largest angle of a triangle whose sides are 1, sin⁡x,cos⁡x is
•  Ï€/3
•  Ï€/2
•  x
•  Ï€/2-x
Solution

#### Written by: AUTHORNAME

AUTHORDESCRIPTION

## Want to know more

Please fill in the details below:

## Latest NEET Articles\$type=three\$c=3\$author=hide\$comment=hide\$rm=hide\$date=hide\$snippet=hide

Name

ltr
item
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET, IIT JEE COACHING INSTITUTE: TRIGONOMETRY-RATIOS-IDENTITIES-QUIZ-3
TRIGONOMETRY-RATIOS-IDENTITIES-QUIZ-3