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In Given Figure, Find tan P – cot R. - Mathematics

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 In Given Figure, find tan P – cot R.

 

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Solution

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 = ("Side opposite to"angle P)/("Side adjacent to"angleP) = (QR)/(PQ)`

= 5/12

`cot R = ("Side opposite to"angle R)/("Side adjacent to"angleR) = (QR)/(PQ)`

= 5/12

tan P - cot R = ` 5/12 - 5/12 = 0`

Concept: Trigonometric Ratios
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APPEARS IN

NCERT Class 10 Maths
Chapter 8 Introduction to Trigonometry
Exercise 8.1 | Q 2 | Page 181
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