In a triangle PQR, PQ=12cm, PR=13cm and is having right angle at Q Calculate Tan P - Cot R - Maths - Introduction to Trigonometry

Question

In a triangle PQR, PQ=12cm, PR=13cm and is having right angle at
Q Calculate Tan P - Cot R

Manbar Singh · Accepted Answer

In ∆PQR,   PR2 = PQ2 + QR2  Pythagoras Theorem⇒QR2 = 132 - 122 = 169 - 144 = 25⇒QR = 5 cm

tan P = perpendicularbase = QRPQ = 512cot R = baseperpendicular = QRPQ = 512so, tan P - cot R = 512 -512 = 0

In a triangle PQR, PQ=12cm, PR=13cm and is having right angle at Q. Calculate Tan P - Cot R