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Question

In the triangle shown, the value of tan P – cot R is ___.


Solution

By applying Pythagoras theorem in Δ PQR, we get

PR2=PQ2+QR2(13)2=(12)2+QR2169=144+QR2
QR2=25QR = 5 cm
Now,
tan P=QRPQ=512
cot R=QRPQ=512
According to question,
tan P  cot R=512512=0

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