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sec^2x/tanx -(tanx)

how to simplify

1 answer

sec^2x/tanx -(tanx)
= (1/cos^2x)(cosx/sinx) - sinx/cosx
= 1/(sinxcosx) - sinx/cosx
= (1 - sin^2x)/(sinxcosx)
= cos^2x / (sinxcosx)
= cosx/sinx
= cot x

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