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Chapter 7: Q.10 (page 473)

Rewrite in terms of sine and cosine functions: cot(胃)sec(胃)

Short Answer

Expert verified

The simplified expression can be given as1sin胃

Step by step solution

01

Given information

We are given a expressioncot(胃)sec(胃)

02

We use trigonometric formulascot(θ)=cos(θ)sin(θ)sec(θ)=1cos(θ)

We get,

cot(胃)sec(胃)=cos胃sin胃1cos胃=1sin(胃)

03

Conclusion

The simplified expression is1sin(胃).

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Most popular questions from this chapter

True or False

tan2胃=2tan胃1-tan2胃

Establish each identity.

1+cos胃+sin胃1+cos胃-sin胃=sec胃+tan胃

Show that the difference quotient for

f(x)=sinx is given by

role="math" localid="1646430733990" f(x+h)-f(x)h=sin(x+h)-sin(x)h=cosx路sinhh-sinx路1-coshh

express each product as a sum containing only sines or only cosines

sin蠎2cos5蠎2

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

secsin-1-12
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