Maths, Divine International Public School

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If 15Cot=8, find (1+SinA)(1-SinA)/(1+CosA)(1-CosA)

  • Maths, Divine International Public School -

    cotA = 8/15
    tanA = 15/8
    so y=15, x=8
    r^2 = 15^2 + 8^2
    r = √289 = 17

    sinA = 15/17
    cosA = 8/17

    then (1+SinA)(1-SinA)/(1+CosA)(1-CosA)
    = (1 - sin^2 A)/(1 - cos^2 A)
    = (1 - 225/289)/(1 - 64/289)
    = (64/289) / (225/289)
    = 64/225

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