Question

if tan A = 4/3 find the value of
2sinA - 3 cosA
----------------------
2 sinA + 3cosA.

plz solve ​

Answer 1

Answer:

tan A = 4/3......(given)

Now,

to find :

2sin A - 3cos A / 2sinA + 3cos A

Divide both numerator and denominator by cos A

We get

2sinA/cosA - 3 / 2sinA/cosA + 3

= 2tan A-3/2tanA+3

= 8/3-3/8/3+3 = -1/3/17/3 = -1/17

Hope this helps you !