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

Normal distribution, Normal Distribution Figure 1 The norm...

Normal Distribution Figure 1 The normal distribution reflects the various values taken by many real life variables like the heights and weights of people or the ma

Estimate the grade resistance, The grade resistance is F=W sin θ, where θ i...

The grade resistance is F=W sin θ, where θ is the grade and W is the weight of the automobile.  What is the grade resistance of a 2500 pound car traveling on a 2.6 degree uphill gr

Triangle, in triangle abc ab=ac and d is a point on side ac such that bc*bc...

in triangle abc ab=ac and d is a point on side ac such that bc*bc=ac*cd. prove that bc=bd

Determine the average number and probability, 1) At a midway game at the st...

1) At a midway game at the state fair, the probability of winning an individual game is advertised to be 30% ( p = . 3). Suppose 50 people played the game (assume all 50 outcomes

What is terminology of quadratic functions, What is Terminology of Quadrati...

What is Terminology of Quadratic Functions ? The function in x given by: F(x) = ax 2 + bx + c, where a 0 is called a quadratic function. The graph of a quadratic function is

Aggregation and augmentation, Previously discussed how important it is to e...

Previously discussed how important it is to expose children to a variety of verbal problems involving the concept that they are trying to learn. Children attach meaning to the abst

How many packets of the first type did she purchase, The manager of a garde...

The manager of a garden store ordered two different types of marigold seeds for her display. The first type cost her $1 per packet and the second kinds cost $1.26 per packet. How m

Randy, write in factor form 9x3+9x5

write in factor form 9x3+9x5

Finds out the center and radius of circle, Finds out the center & radius of...

Finds out the center & radius of each of the following circles & sketch the graph of the circle. a) x 2 + y 2 = 1 b) x 2 + ( y - 3) 2  = 4 Solution In all of these

Hierarchical structures-how mathematical ideas grow, Hierarchical Structure...

Hierarchical Structures :  As the abstractions from concrete objects and materials become more and more general, they represent wider and wider ideas. If we put down each step of

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