How do you simplify \tan^2 4b-\sec^2 4b

Yahir Haas 2022-01-21 Answered
How do you simplify
tan24bsec24b
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Expert Answer

bemolizisqt
Answered 2022-01-22 Author has 16 answers
Call x=4b
f(x)=(tanxsecx)(tanx+secx)
=(sexcosx1cosx)(sinxcosx+1cosx)
=(sinx1)(sinx+1)cos2x=1sin2xcos2x
=cos2xcos2x=1
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Jason Olsen
Answered 2022-01-23 Author has 14 answers
An alternate solution using the Pythagorean Identity:
We know that tan2(x)+1=sec2(x)
Let's let 4b=x
tan2(4b)+1=sec2(4b)
tan2(4b)sec2(4b)=1
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