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OpenStudy (anonymous):
verify sec^4x-tan^4x=sec^2x+tan^2x
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OpenStudy (anonymous):
i will do left side first.
OpenStudy (anonymous):
1/cos^4x-sin^4x/cos^4x= (1-sin^4x)/(cos^2x)(cos^2x)= (1+sin^2x)(1-sin^2x)/(cos^2x)(1-sin^2x)= (1+sin^2x)/cos^2x
OpenStudy (anonymous):
Now i will do right side. 1/cos^2x+sin^2x/cos^2x=(1+sin^2x)/(cos^2x)= Left side. QED
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