1.

In Fig. 8.13, find tan P-cot R.

Answer»

using Pythagoras law we got

QR² = PR² - PQ²

=> QR = √ PR² - PQ²

=> QP = √ ( 13 )² - ( 12 )²

=> QP = √ 169 - 144

=> QP = √25

=> QP = 5

.°. tan P = QR/PQ

tan P = 5/12

and

Cot R = QR/PQ

Cot R = 5/12

now

tan P - Cot R

= 5/12 - 5/12

= 0

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