# 41

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By: Timmy O’Shea # 41

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# 41. By: Timmy O’Shea. The Problem. Tanx + C otx ------------------- csc^2 Step 1: Back to basics. Changes. Sinx Tanx = -------- Cosx Cosx Cotx = ---------- Sinx 1 Csc^2= ------------ Sin^2x. Back to basics. Sinx Cosx ------- + ----------- Cosx Sinx - PowerPoint PPT Presentation

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# 41

By: Timmy OShea# 41

Tanx + Cotx-------------------csc^2

Step 1: Back to basicsThe Problem

SinxTanx= --------Cosx

CosxCotx= ----------Sinx

1Csc^2= ------------ Sin^2xChanges

Sinx Cosx------- + -----------Cosx Sinx ---------------------1----------------------Sin^2x

Back to basics

(Sinx Cosx)------- + -----------(Cosx Sinx) Sin^2xCosx--------------------- ---------------------(1) Sin^2xCosx----------------------(Sin^2x)

Multiply by LCd

Sin^3x + SinxCosx------------------------------CosxFActor

Sinx(Sin^2x + Cos^2x)------------------------------------CosxSimplify

Sinx-------CosxSimplify

TanxThe answer