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

Give an example of numerator and denominator, Give an example of Numerator ...

Give an example of Numerator and Denominator? Fractions represent parts of a whole object. Fractions are written using a horizontal line, with one number on top of the line and

Arclength surprise - mathematics, Suppose a unit circle, and any arc S on t...

Suppose a unit circle, and any arc S on the unit circle in the first quadrant. No matter where S is provided, the area between S and the x-axis plus the covered area between S and

Geometry, Can two lines contain a given point

Can two lines contain a given point

Complex roots - second order differential equations, We will be looking at ...

We will be looking at solutions to the differential equation, in this section ay′′ + by′ + cy = 0 Wherein roots of the characteristic equation, ar 2 + br + c = 0 Those

Build a fine automaton which accept all words, Build a Fine Automaton which...

Build a Fine Automaton which accept all words which have different first and last letters (that is if the word starts with an "a" to be accepted it should end with "b" and vice ver

How many people are usual to vote for mr salva on survey, The Daily News re...

The Daily News reported that 54% of people surveyed said in which they would vote for Larry Salva for mayor. Based on the survey results, if 23,500 people vote in the election, how

Supremum and infimum, prove that s is bounded?

prove that s is bounded?

Spring force, Spring, F s We are going to suppose that Hooke's Law wil...

Spring, F s We are going to suppose that Hooke's Law will govern the force as the spring exerts on the object. This force will all the time be present suitably and is F s

Discontinuous integrand- integration techniques, Discontinuous Integrand- I...

Discontinuous Integrand- Integration Techniques Here now we need to look at the second type of improper integrals that we will be looking at in this section. These are integr

Shares and devidends, report of shares and devidends

report of shares and devidends

Write Your Message!

Name

Email id

Message

Verfication Code

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!

Submit Assignment

User Account

All Pages