186k views
3 votes
I NEED HELP PLEASE! THANKS :)

I NEED HELP PLEASE! THANKS :)-example-1

1 Answer

4 votes

Answer:

A

Explanation:

First, let's do the difference of two squares:


(1-cos^4(\theta))=(1-cos^2(\theta))(1+cos^2(\theta))

Note that
sin^2(\theta)=1-cos^2(\theta) (Pythagorean Identity)

Thus, we can substitute:


sin^2(\theta)(1+cos^2(\theta))

Now, and I'm serious, you just have to use your creativity. After a while, you will find that:


sin^2(\theta)+cos^2(\theta)=1

So:


1+sin^2(\theta)+cos^2(\theta)=1+1

Thus, we have
1+cos^2(\theta)=2-sin^2(\theta)

Now, we can substitute:


sin^2(\theta)(2-sin^2(\theta))=2sin^2(\theta)-sin^4(\theta)

User Import Random
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories