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If 4 tan =3,evaluate 4 sin-cos+1 …

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If 4 tan =3,evaluate 4 sin-cos+1 4cos+cos-1

    • Posted by Megha Jangir 5 years, 1 month ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 1 month ago

    4tan = 3 ⇒ tan = 3/4
    we know, tan = perpendicular/base
    so, after comparing , perpendicular = 3 and base = 4
    ∴ hypotenuse = √(3² + 4²) = 5
    now, sin = perpendicular/hypotenuse = 3/5
    cos = base/hypotenuse = 4/5

    now, (4sin - cos + 1)/(4sin + cos - 1)
    = (4 × 3/5 - 4/5 + 1)/(4 × 3/5 + 4/5 - 1)
    = (12 - 4 + 5)/(12 + 4 - 5)
    = 13/11

    1Thank You

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