Monomath – CBSE | GSEB | IB | JEE Maths by Ajay Yadav (Math King of Katargam) – 15+ Years Experience. Study Notes, Video Lessons, Formula Sheets & PYQs.
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Introduction to Trigonometry

Previous Year Questions (2022-2024)

📅 Year 2022

  1. If tan A = 34, find sin A and cos A.
    Show Solution
    tan A = oppadj = 34\nhyp = √32 + 42 = 5\nsin A = 35, cos A = 45
  2. Prove: (1 + tan2 A)/(1 + cot2 A) = tan2 A.
    Show Solution
    LHS = 1 + tan2 A1 + cot2 A = sec2 Acosec2 A\n= {1cos2 A}/{1sin2 A} = sin2 Acos2 A = tan2 A = RHS

📅 Year 2023

  1. If tan A = 34, find sin A and cos A.
    Show Solution
    tan A = oppadj = 34\nhyp = √32 + 42 = 5\nsin A = 35, cos A = 45
  2. Prove: (1 + tan2 A)/(1 + cot2 A) = tan2 A.
    Show Solution
    LHS = 1 + tan2 A1 + cot2 A = sec2 Acosec2 A\n= {1cos2 A}/{1sin2 A} = sin2 Acos2 A = tan2 A = RHS

📅 Year 2024

  1. If tan A = 34, find sin A and cos A.
    Show Solution
    tan A = oppadj = 34\nhyp = √32 + 42 = 5\nsin A = 35, cos A = 45
  2. Prove: (1 + tan2 A)/(1 + cot2 A) = tan2 A.
    Show Solution
    LHS = 1 + tan2 A1 + cot2 A = sec2 Acosec2 A\n= {1cos2 A}/{1sin2 A} = sin2 Acos2 A = tan2 A = RHS