In the given figure, find tan P – cot R.

From figure, PQR is a right angled triangle. By pythagoras theorem, we get : ⇒ PR 2 = PQ 2 + QR 2 ⇒ 13 2 = 12 2 + QR 2 ⇒ QR 2 = 169 - 144 ⇒ QR 2 = 25 ⇒ QR = = 5. tan P = . cot R = . Substituting values in tan P - cot R, we get : = 0. Hence, tan P - cot R = 0.