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Prove that : (cosA)/(1+tan A )-(sinA)/(...

Prove that : `(cosA)/(1+tan A )-(sinA)/(1+cotA)= cosA - sin A `

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OSWAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY AND TRIGONOMETRIC IDENTITIES -SELF ASSESSMENT - 2 (I. Objective Type Questions)(III. Short Answer Type Questions - II)
  1. Prove that : (tanA+sinA)/(tanA-sinA)=(secA+1)/(secA-1)

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  2. Prove that : (cosA)/(1+tan A )-(sinA)/(1+cotA)= cosA - sin A

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