Q. 24.3( 319 Votes )

In Fig. 8.13, find tan P – cot R.


Answer :

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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