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Chapter 7: Q.21 (page 473)

Establish the identity:1+tan2(-胃)=sec2(胃)

Short Answer

Expert verified

We establish the identity1+tan2(-胃)=sec2(胃)

Step by step solution

01

Given information

We are given1+tan2(-胃)

02

tan is an odd function tan(-θ)=-tan(θ)

We get

1+tan2(-胃)1+(-tan(胃))2 =1+tan2(胃)=sec2(胃)

03

Conclusion

We establish the identity1+tan2(-胃)=sec2(胃)

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