Question

Given : tan A =4/3, find : cosec A /cot A -sec A

Answer 1

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