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

Law of Sine and Cosine Word Problems, A poll tilts towards the sun at an 8 ...

A poll tilts towards the sun at an 8 o angle from the vertical at it casta 22-ft shadow. The angle of elevation from the shadow to the top of the pole is 43 o . How tall is th

Difference between experiment and outcome, Difference Between Experiment an...

Difference Between Experiment and Outcome Experiment is an operation that produces outcomes which can be observed. Outcome/Event is the result of an experiment.

Solid mensuration, a circle is circumscribed about an equilateral triangle ...

a circle is circumscribed about an equilateral triangle whose side is 3 cm. find the area of the circle.

Triangles, ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lr...

ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lrt p be the length of the perpendicular from C on AB. prove that cp=ab and 1/p2=1/a2+1/b2

Solve following x - x e 5 x + 2 = 0 logarithms, Solve following  x - x  ...

Solve following  x - x  e 5 x + 2   = 0 . Solution : The primary step is to factor an x out of both terms. DO NOT DIVIDE AN x FROM BOTH TERMS!!!! Note as well that it i

the word rotor, a)    A palindrome is a word that reads the similar whethe...

a)    A palindrome is a word that reads the similar whether read from right to left or from the left to right, the word ROTOR, for example. Let  be the number of words of length n,

, What is 124 out of 300 in percent

What is 124 out of 300 in percent ?

Help, Two sessions of swimming lessons were held at a pool. In the first se...

Two sessions of swimming lessons were held at a pool. In the first session 40 students attended. Of these 40 students 60% were girls. How many girls attended the first session of s

Calculate the equation, Problem1: Find the general solution on -π/2 Dy/...

Problem1: Find the general solution on -π/2 Dy/dx +(tan x)y =(sin 2 x)y 4

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