Answer:
Step-by-step explanation:tan A = sin A / cos A
Given tan A = 4/3, we can set up the following equation:
4/3 = sin A / cos A
To find sin A and cos A, we can use the Pythagorean identity:
sin^2 A + cos^2 A = 1
Since we know tan A = 4/3, we can rewrite the equation as:
(4/3)^2 + cos^2 A = 1
16/9 + cos^2 A = 1
cos^2 A = 1 - 16/9
cos^2 A = 9/9 - 16/9
cos^2 A = -7/9