Question

IF 3 cot A=2, then find the value of
4 sinA- 3 COSA/
2sinA + 3COSA​

Answer 1

Answer:

3 cot A=2

cotA =2/3

adjacent side/opposite side = 2/3

So adjacent side =2 and opposite side =3

By Pythagoras theorem,

Consider triangle abc

BC=2 , AB=3

so AB²+BC²=AC²

So 3²+2²=AC² ==- AC= √13

SinA= AB/AC =3/√13

CosA=BC/AC=2/√13