If cosθ =p/√(p2+q2), then the value of tanθ is

  1. p/ (p2+q2)
  2. q/√(p2+q2)
  3. q/√(p2-q2)
  4. p/q
Monis Rasool Professor Asked on 21st November 2015 in Maths.
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  • 1 Answer(s)

    All options are wrong.

    The correct answer is q/p.

    Explanation:-

    cosθ = p/√(p² + q²)
    Base = p  and hypotenuses = √(p² + q²)
    Then, Altitude = √[{√(p² + q²)}² – p²]
    = √ (p² + q² – p²)
    = √q²
    Altitude = q

    Then, tanθ = altitude/base
    = q/p

    Hence, the answer is q/p.

    Anurag Mishra Professor Answered on 22nd November 2015.
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