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

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.

 

Posted Date: 4/9/2013 1:04:08 AM | Location : United States







Related Discussions:- Prove that sec2+cosec2 can never be less than 2, Assignment Help, Ask Question on Prove that sec2+cosec2 can never be less than 2, Get Answer, Expert's Help, Prove that sec2+cosec2 can never be less than 2 Discussions

Write discussion on Prove that sec2+cosec2 can never be less than 2
Your posts are moderated
Related Questions
Relative measures of dispersion Definition of Relative measures of dispersion: A relative measure of dispersion is a statistical value that may be utilized to compare va

1,5,14,30,55 find the next three numbers and the rule

What is the annual interest rate on an account in which earns $948 in simple interest over 36 months along with an initial deposit of $7,900? Using the easy interest formula In

ho we can find the area of diffrent types of polygon

Do you subtract when you add integers.

limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and 2 to 2x and apply the limit from 0 to 2 answer is 12.

a shopkeeper buys two cameras at the same price . he sells one camera at a profit of 18% and the other at a price of 10% less than the selling price of the first camera. find his p

A cylindrical vessel of diameter 14 cm and height 42 cm is fixed symmetrically inside a similar vessel of diameter 16 cm and height 42 cm. The total space between two vessels is fi

Equivalent or Equal sets Two sets C and D are said to be equal whether every member of set C belongs to D and every member of set D belongs also to C.