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Chapter 7: Q.17 (page 473)

Factor and simplify:3sin2(胃)+4sin(胃)+1sin2(胃)+2sin(胃)+1

Short Answer

Expert verified

The simplified expression can be given as

3sin(胃)+1sin(胃)+1

Step by step solution

01

Given information

We are given am expression3sin2(胃)+4sin(胃)+1sin2(胃)+2sin(胃)+1

02

We factorize and simplify

We get,

3sin2(胃)+4sin(胃)+1sin2(胃)+2sin(胃)+1=3sin2(胃)+3sin(胃)+sin(胃)+1(1+sin(胃))2=3sin(胃)(sin(胃)+1)+(sin(胃)+1)(1+sin(胃))2=(3sin(胃)+1)(1+sin(胃))(1+sin(胃))2=3sin(胃)+11+sin(胃)

03

Conclusion

The simplified expression can be given as

3sin(胃)+1sin(胃)+1.

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