In Fig. 8.13, find tan P – cot R.

Applying Pythagoras theorem for ΔPQR, we obtain

PR2 = PQ2 + QR2
(13 cm)2 = (12 cm)2 + QR2
169 cm2 = 144 cm2 + QR2
25 cm2 = QR2
QR = 5 cm
tan P = ![]()
= ![]()
cot R = ![]()
= ![]()
tan P - cot R = ![]()
= 0
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