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Chapter 7: Q.1 (page 473)

True or False:sin2胃=1-cos2胃

Short Answer

Expert verified

The given identity is true

Step by step solution

01

Given information

We are given a identitysin2胃=1-cos2胃

02

Explanation for true statement

We know a trigonometric identity

sin2胃+cos2胃=1

on rearranging the identity we get,

sin2胃=1-cos2胃

Hence the given identity is true

03

Explanation for false statement

Consider that the given identity is false

Hence,

sin2胃鈮�1-cos2胃

And therefore

sin2胃+cos2胃鈮�1

Which is false.

04

Conclusion

The given statement is true statement

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