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Deepak Bora
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Trigonometric formula… Prove that : Sin² A=1-cos²A

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Prove this standard trigonometric identity: Sin² A=1-cos²A

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  1. To prove:- Sin²A = 1-cos² A

    In a right triangle

    SinA = P/H

    CosA = B/H

    substituting the values

    (P/H)² = 1- (B/H)²

    P²/H² = 1- B²/H²

    P²/H² = H² – B²/H².         (Taking LCM)

    According to P.G.T.  H²= P²+ B²

    ∴H² – B² = P²

    ∴ P²/H² = P²/ H².

    RHS= LSH ( Hence Proved)

     

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