Ex 8.1, 2
In figure , find tan P β cot R.
Finding sides of triangle
In right β π·πΈπΉ,
Using Pythagoras theorem
(Hypotenuse)2 = (Height)2 + (Base)2
PR2 = PQ2 + QR2
132 = 122 + QR2
169 = 144 + QR2
169 β 144 = QR2
25 = QR2
QR2 = 25
QR = βππ
QR = β(5^2 )
QR = 5
Thus, QR = 5 cm
Finding tan P
tan P = (π πππ πππππ ππ‘π π‘π β π)/(π πππ ππππππππ‘ π‘πβ π)
= ππ /ππ
= π/ππ
Finding cot R
For cot R , Lets first find tan R
tan R = (π πππ πππππ ππ‘π π‘π β π )/(π πππ ππππππππ‘ π‘πβ π )
= ππ/ππ
= ππ/π
Hence,
cot R = 1/tanβ‘γ π γ
= π/ππ
Now,
tan P β cot R
= 5/12β5/12
= 0

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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