The sides of a right angle triangle PQR are PQ = 7 cm, QR = 25 cm and ∠Q = 90° respectively. Then find, tan P – tan R.

Question

The sides of a right angle triangle PQR are PQ = 7 cm, QR = 25 cm and ∠ Q = 90° respectively. Then find, tan P – tan R.

Philoid · Accepted Answer

We have

We don’t need to find hypotenuse (PR) in the ∆PQR as tan θ = perpendicular/base.

⇒

And

⇒

tan P – tan R =

⇒ tan P – tan R =

⇒ tan P – tan R = 576/175

Thus, tan P – tan R = 576/175