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# 41

# 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

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# 41

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  1. # 41 By: Timmy O’Shea

  2. The Problem Tanx + Cotx ------------------- csc^2 Step 1: Back to basics

  3. Changes Sinx Tanx= -------- Cosx Cosx Cotx= ---------- Sinx 1 Csc^2= ------------ Sin^2x

  4. Back to basics SinxCosx ------- + ----------- CosxSinx --------------------- 1 ---------------------- Sin^2x

  5. Multiply by LCd (SinxCosx) ------- + ----------- (CosxSinx)Sin^2xCosx --------------------- º --------------------- (1) Sin^2xCosx ---------------------- (Sin^2x)

  6. FActor Sin^3x + SinxCosx ------------------------------ Cosx

  7. Simplify Sinx(Sin^2x + Cos^2x) ------------------------------------ Cosx

  8. Simplify Sinx ------- Cosx

  9. The answer Tanx

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