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Chapter 7: Q.15 (page 473)

Multiply and simplify:(sin(胃)+cos(胃))(sin(胃)+cos(胃))-1sin(胃)cos(胃)

Short Answer

Expert verified

On simplifying we get the answer as2

Step by step solution

01

Given information

We are given an equation(sin(胃)+cos(胃))(sin(胃)+cos(胃))-1sin(胃)cos(胃)

02

Multiply and simplify

We get,

(sin(胃)+cos(胃))(sin(胃)+cos(胃))-1sin(胃)cos(胃)=sin2(胃)+cos2(胃)+2sin(胃)cos(胃)-1sin(胃)cos(胃)=1+2sin(胃)cos(胃)-1sin(胃)cos(胃)=2sin(胃)cos(胃)sin(胃)cos(胃)=2

03

Conclusion

on simplifying we get 2.

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Most popular questions from this chapter

Establish each identity.

1+sin胃1-sin胃-1-sin胃1+sin胃=4tan胃sec胃

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

The distance dfrom the point (2,-3)to the point (5,1)is ______.

Establish each identity.

1+sin胃+cos胃1+sin胃-cos胃=1+cos胃sin胃
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