Question

I if cos A=12/13, then find sin A and tan A

Answer 1

Cos A =12/13

Cos A = base/hypotenuse

___________

Let,

Base = 12x
Hypotenuse =13x
________,,
By Pythagoras theorem,

(13x)² =(12x)²+(height)²

169x² =144x² +(height)²

25x² =height

5x = height,
________

Sin = height /hypotenuse

Sin A = 5x/13x =5/13

, __________

. tan = height/base

Tan A = 5x/12x =5/12






I hope this will help you


-by ABHAY

Answer 2

tan a =5/12 as tan is equal to tan =p/b