Question

cos A is equals to 12 by 13 find the value of cot a​

Answer 1

answer is 5..............

Answer 2

Step-by-step explanation:

cosA = $\frac{12}{13}$

=> $\frac{BC}{AC} = \frac{12}{13}$ = k

=> $\frac{BC}{12} = \frac{AC}{13}$ = k

=> So, BC = 12k

AC = 13k

By Pythagoras theorem:

AC² = BC² + AB²

=> (13k)² = (12k)² + AB²

=> AB² = 169k² - 144k²

=> AB = $\sqrt{25k^2}$

=> AB = 5k

We know that:

CotA = $\frac{AB}{BC}$

CotA = $\frac{5k}{12k}$

$\fbox{ CotA = \frac{5}{12}}$