SOLUTION: I need help with verifying this trig identity. The problem is sec^4x-tan^4x / sec^2+ tan^2x = sec^2x +tan^2x.
I'm having a really hard time with the left side,but on the right
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Question 679329: I need help with verifying this trig identity. The problem is sec^4x-tan^4x / sec^2+ tan^2x = sec^2x +tan^2x.
I'm having a really hard time with the left side,but on the right side I changed it to 1/ cos^2x + sin^2x/ cos^2x then to 1+sin^2x/ cos^2x.
Help!
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
A little challenging, but once you see the trick...
Working with the LHS only:
\left(\sin^2x\right)\right)\ =\ )
\left(1\ -\ \cos^2x\right)\right)\ =\ )
\right)\ =\ )
\ =\ )
}{\cos^2x}\ =\ \frac{1\ +\ \sin^2x}{\cos^2x})
which is the same as your right side.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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