AQA Core 3 6.04 Differentiation: The Quotient Rule

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How is the last question sec^2x?  cos^2x/cos^2x + sin^2x/cos^2x= 1+sin^2x/cos^2x =1+tan^2x

Test-oznu
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I got lost in this video. Quite a difficult rule compared to the other 2

ohhminion