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Chapter 7: Q.27 (page 473)

Establish the identity:(sec(胃)-1)(sec(胃)+1)=tan2(胃)

Short Answer

Expert verified

We establish the identity(sec(胃)-1)(sec(胃)+1)=tan2(胃)

Step by step solution

01

Given information

We are given an identity(sec(胃)-1)(sec(胃)+1)

02

use algebraic formula (a-b)(a+b)=a2-b2

We get,

(sec(胃)-1)(sec(胃)+1)sec2(胃)-1Weknow1+tan2(胃)=sec2(胃)鈭�sec2(胃)-1=tan2(胃)

03

Conclusion

We establish the identity(sec(胃)-1)(sec(胃)+1)=tan2(胃)

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Most popular questions from this chapter

In Problems 9鈥�36, find the exact value of each expression.

csccos-1-32

solve each equation on the interval 0鈮�胃<2蟺

sin胃-3cos胃=1

Show thatsin3胃+sin3胃+120掳+sin3胃+240掳=-34sin3胃

In Problems 9鈥�36, find the exact value of each expression.

cos-1sin5蟺4

Establish each identity.

sin3胃+cos3胃1-2cos2胃=sec胃-sin胃tan胃-1
See all solutions

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