Prove that sec2+cosec2 can never be less than 2, Mathematics

Assignment Help:

Prove that sec2θ+cosec2θ can never be less than 2.

Ans:    S.T Sec2θ + Cosec2θ can never be less than 2.

If possible let it be less than 2.

1 + Tan2θ + 1 + Cot2θ < 2.

⇒   2 + Tan2θ + Cot2θ

⇒   (Tanθ + Cotθ)2 < 2.

Which is not possible.

 


Related Discussions:- Prove that sec2+cosec2 can never be less than 2

Write the value of sin10+sin20+sin30+....+sin360., sin10+sin20+sin30+....+s...

sin10+sin20+sin30+....+sin360=0 sin10+sin20+sin30+sin40+...sin180+sin(360-170)+......+sin(360-40)+sin(360-30)+sin(360-20)+sin360-10)+sin360 sin360-x=-sinx hence all terms cancel

Prove that the ratio of the sum of odd terms, If there are (2n+1)terms  in ...

If there are (2n+1)terms  in an AP ,prove that the ratio of the sum of odd terms and the sum of even terms is (n+1):n Ans:    Let a, d be the I term & Cd of the AP. ∴ ak =

Linear programming, I want to send to you a file for my question.How. Could...

I want to send to you a file for my question.How. Could you please send my a link for that.

Find area of y = 2 x2 + 10 and y = 4 x + 16, Find out the area of the regio...

Find out the area of the region bounded by y = 2 x 2 + 10 and y = 4 x + 16 . Solution In this case the intersection points (that we'll required eventually) are not going t

Find a longest common substring - suffix trees, 1. Using suffix trees, give...

1. Using suffix trees, give an algorithm to find a longest common substring shared among three input strings: s 1 of length n 1 , s 2 of length n 2 and s 3 of length n 3 .

Prove that three times the sum of the squares, Prove that three times the s...

Prove that three times the sum of the squares of the sides of a triangle is equal to four times the sum of the squares of the medians of the triangle. Ans:    To prove 3(AB 2

Assignment, Is there any assignment work available for mathematics?

Is there any assignment work available for mathematics?

Algebraic expressions, how to simplify an expression which has different si...

how to simplify an expression which has different signs

Types of series - telescoping series, Telescoping Series  It's now tim...

Telescoping Series  It's now time to look at the telescoping series.  In this section we are going to look at a series that is termed a telescoping series.  The name in this c

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd