SOLUTION: How do i verify this trigonometric identity? (1+tanx^2/cosx^2)= sec^4 I know 1+tanx^2 and cosx^2 can be changed. So i changed 1+tanx^2 to secx^2 and i changed cosx^2 to 1/secx^2

Question 743459: How do i verify this trigonometric identity? (1+tanx^2/cosx^2)= sec^4
I know 1+tanx^2 and cosx^2 can be changed. So i changed 1+tanx^2 to secx^2 and i changed cosx^2 to 1/secx^2 but i dont know where to go from there.
My problem looks like (secx^2/1)/(1/secx^2) so i multiplied the top and bottom by secx^2 and crossed out the denominator and got left with secx^2(secx^2) over 1. Since the one isnt really there i got rid of it and multiplied secx^2(secx^2) and got secx^4. Is that right? can you please show your work so I can learn if its wrong? thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
verify this trigonometric identity?
(1+tanx^2/cosx^2)= sec^4
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Note: 1+ tan^2 = sec^2
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Note: 1/cos^2 = sec^2
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Your Problem:
(sec^2/(1/sec^2)) = sec^4
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sec^4 = sec^4
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Cheers,
Stan H.
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