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Verify the identity (1)/(sinxcosx) + (cos(-x))/(sin(-x)) = tanx
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23 votes
23 votes
Verify the identity

(1)/(sinxcosx) + (cos(-x))/(sin(-x)) = tanx

User Pcofre
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1 Answer

27 votes
27 votes

Explanation:


(1)/(sinxcosx) + (cos(-x))/(sin(-x))\\ =(1)/(sinxcosx) + (cosx)/(-sinx)\\=(1)/(sinxcosx) - ((cosx)^2)/(sinxcosx)\\=(1-(cosx)^2)/(sinxcosx)\\=((sinx)^2)/(sinxcosx)\\ =(sinx)/(cosx)\\ =tanx

User Patrick Beardmore
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