# In Fig. 8.13, find tan P – cot R.

Applying Pythagoras theorem for ΔPQR, we obtain

Pythagoras Theorem : the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

PR2 = PQ2 + QR2

(13)2 = (12)2 + QR2

169 cm2 = 144 cm2 + QR2

25 cm2 = QR2

QR = 5 cm

tan P =

=

cot R =

=

tan P - cot R =

= 0
tan P - cot R = 0

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