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In the Following Figure. Ad = 4 Cm, Bd = 3 Cm and Cb = 12 Cm, Find the Cot θ. - Mathematics

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Question

In the following Figure. AD = 4 cm, BD = 3 cm and CB = 12 cm, find the cot θ.

 

 

Options

  • \[\frac{12}{5}\]

  • \[\frac{5}{12}\]

  • \[\frac{13}{12}\]

  • \[\frac{12}{13}\]

MCQ

Solution

We have the following given data in the figure, `AD=4cm, BD=3 cm, CB=12 cm`

Now we will use Pythagoras theorem in, ΔABD 

`AB=sqrt(3^2+4^2)` 

= 5 cm

Therefore, 

`cot θ  =( CB)/(AB)`

=`12/5` 

 

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Chapter 10: Trigonometric Ratios - Exercise 10.5 [Page 59]

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RD Sharma Mathematics [English] Class 10
Chapter 10 Trigonometric Ratios
Exercise 10.5 | Q 35 | Page 59
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