omarsgifford14
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Verify the identity.
(tan^2x+1)(cos^2(-x)-1)=-tan^2x
All help appreciated. Thanks!
(tan^2x+1)(cos^2(-x)-1)=-tan^2x
All help appreciated. Thanks!
Trigonometry Identity Prob: Verify (tan^2x+1)(cos^2(-x)-1)=-tan^2x
- Thread starter omarsgifford14
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Hint: 1 + tan2x = sec2x
Prove (tan^2x+1)(cos^2(-x)-1)=-tan^2x
Prove the identity
(tan^2x+1)(cos^2(-x)-1) = -tan^2x
See if you can fill in the boxes to answer this question.
We know 1 + tan^2(x) =
^2(x) and cos(-x) = cos
LHS =^2(x)[^2(x) - 1]
= - sec^2(x) since secx = 1/x
= - [1 + ^2(x)]
= -^2(x)
= RHS
Prove the identity
(tan^2x+1)(cos^2(-x)-1) = -tan^2x
See if you can fill in the boxes to answer this question.
We know 1 + tan^2(x) =
^2(x) and cos(-x) = cosLHS =
^2(x)[^2(x) - 1]=
- sec^2(x) since secx = 1/x=
- [1 + ^2(x)]= -
^2(x)= RHS