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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