Question

if cot A = 2/5 , find the value of 4+4 tan²A​

Answer 1

QUESTION:-

Cot A =2/5 , find the value of 4+4tan²A

Given

cotA=2/5

To Find:-

4+4tan²A

By using Trigonometric Ratio

$\cot \: A = \frac{base}{perpendicular} = \frac{2}{5}$

Base=2 and Perpendicular =5

Trigonometric Ratio for TanA

$\tan \: A = \frac{perpendicular}{base}$

Value of Base and Perpendicular is given ,we get

$\tan \: A = \frac{5}{2}$

So we have value of tanA ,then put the value of tanA in

=> 4+4tan²A

$\implies \: 4 + 4 \times ( \frac{5}{2} ) {}^{2}$

$\implies4 + 4 \times \frac{25}{4}$

$\implies4 + 25$

=> 29

Answer:-29