Question

If 3cotA =2 then find the value of
4sin A-3cos A by 2sin A+ 3cos A

Answer 1

Answer:

0.5

Explanation:

3cot A=2

cot A=2÷3

tan A=3÷2 ( because cot A=1÷tan A)

sin A÷cos A=3÷2 ( because tanA=sin A÷cos A)

since;

since;From above equation,

sin A=3 and cos A=2

Now putting the value of sinA and cosA in the given equation in the question:

= 4×3-3×2

2×3+3×2

= 12-6

6+6

= 6

12

= 1

2

= 0.5 Ans..