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

Sequence and series, Find the sum og series 1+(1+3)+(1+3+5)+.......+(1+3+.....

Find the sum og series 1+(1+3)+(1+3+5)+.......+(1+3+...+15+17)=

Geometry, RS=8y+4 ST=4y+8 RT=15y-9 a.) WHAT IS THE VALUE OF y b.) FIND RS...

RS=8y+4 ST=4y+8 RT=15y-9 a.) WHAT IS THE VALUE OF y b.) FIND RS, ST, AND RT

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

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

Permuation and combination, how many words can be formed from letters of wo...

how many words can be formed from letters of word daughter such that each word contain 2vowles and 3consonant

Setofoperations, write CxD being sure to use appropriate brackets and find ...

write CxD being sure to use appropriate brackets and find n(CxD)

Interpretations of the derivative , Interpretations of the Derivative : ...

Interpretations of the Derivative : Before moving on to the section where we study how to calculate derivatives by ignoring the limits we were evaluating in the earlier secti

Scatter graphs, Scatter Graphs - A scatter graph is a graph that compr...

Scatter Graphs - A scatter graph is a graph that comprises of points which have been plotted but are not joined through line segments - The pattern of the points will defin

how many of the original vectors, We have claimed that a randomly generate...

We have claimed that a randomly generated point lies on the equator of the sphere  independent of where we pick the North Pole.  To test this claim randomly generate ten  vectors i

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