# Simplify 1-tan^4(theta)+sec^4(theta)?

I am very confused as to what identity I need to use to simplify this equation.

## 4 Answers By Expert Tutors

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Tutor
5 (5)

Understanding all Sines of Triangles

Mark M.

Third to last line, perhaps the -1 was not distributed.
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02/09/17

Michael J.

Yes, you are right.  I missed that term.   I will fix right away.
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02/09/17

Tutor
New to Wyzant

Experienced General Mathematics Tutor

Alright, so I would have to use the identities but raised to the fourth power? Example being the identity sec^4(theta)=1-tan^4(theta), keeping the formula same but raising it to the fourth power? I do apologize if I did not quite get it, it is just that I know the identities, just the power symbols to the fourth are throwing me off.
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02/09/17

Michael J.

You can read my answer as well to clear up any confusion you may have.
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02/09/17

Oh, ok. I see what you did. You split the power in the equation.
Thank you so much, this clears up a lot.
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02/09/17

Tutor
5.0 (243)

Mathematics Teacher - NCLB Highly Qualified

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