Question

if sec thita + tan thita=4/3 then sec thita . tan thita​

Answer 1

Answer:

sec + tan=4/3

As sec^2 - tan^2 = 1

(sec + tan) (sec - tan) = 1

sec - tan = 3/4

Add both

2 sec = 4/3 + 3/4 = 16+9 /12 = 25/12

sec = 25/24

subtract both

2 tan = 4/3 - 3/4 = 16-9 /12 = 7/12

tan = 7/24

sec tan = 25/24 × 7/24 = 175/576