Question Bank - Mathematics

Here's the question bank on all the mathematics topics.

Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text
Button Text

What is value of cot2 15° + tan2 15° ?

A.
12
B.
14
C.
\(8\sqrt 3\)
D.
4

Solution:

Concept:tan 15° = 2 - ?3cot 15° = 2 + ?3Formula used:(a + b)2 = a2 + 2ab + b2(a - b)2 = a2 - 2ab + b2Calculation:Let the required value is y.? y = cot2 15° + tan2 15°? y = (2 + ?3)2 + (2 - ?3)2Using the formula given above? y = (4 + 4?3 + 3) + (4 - 4?3 + 3) ? y = 8 + 6 = 14? cot2 15° + tan2 15° = 14

For more questions,

Click Here

Download Gyanm App

free current affairs for competitive exams

Scan QR code to download our App for
more exam-oriented questions

free current affairs for competitive exams

OR
To get link to download app

Thank you! Your submission has been received. You will get the pdf soon. Call us if you have any question: 9117343434
Oops! Something went wrong while submitting the form.