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

- p/ (p
^{2}+q^{2}) - q/√(p
^{2}+q^{2}) - q/√(p
^{2}-q^{2}) - p/q

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.