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Chapter 7: Q.30 (page 473)

Establish the identity:(csc(胃)-cot(胃))(csc(胃)+cot(胃))=1

Short Answer

Expert verified

We establish the identity(csc(胃)-cot(胃))(csc(胃)+cot(胃))=1

Step by step solution

01

Given information

We are given an expression(csc(胃)-cot(胃))(csc(胃)+cot(胃))

02

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

We get,

(csc(胃)-cot(胃))(csc(胃)+cot(胃))=csc2(胃)-cot2(胃)Weknowthat1+cot2(胃)=csc2(胃)鈭�csc2(胃)-cot2(胃)=1

03

Conclusion

We establish the identity(csc(胃)-cot(胃))(csc(胃)+cot(胃))=1

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Most popular questions from this chapter

True or False

tan2胃=2tan胃1-tan2胃

solve each equation on the interval

0鈮�胃<2蟺

sin胃+cos胃=2

True or False. sin2胃has two equivalent forms:

2sinucosuand sin2胃-cos2胃

Express the product cos(4胃)cos(2胃)as a sum containing only sines or only cosines.

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