Question

If 3 cotA=4 find the value of 5cosA-2sinA/5cosA + 3sinA

Answer 1

cotA=4/3
adj/opp=4/3
by Pythagoras we get hypotenuse is 5
5cosA-2sinA/5COSA+3sinA
5(4/5)-2/5(TanA)+3sinA
4-2/5(3/4)+3(3/5)
4-6/20+9/5
80/20-6/20+36/20
110/20
11/2 is final answer hope it helps
please mark it as brainliest

Answer 2

cotA=4    
cosA/sinA=4/1 than, cosA=4 ,  sinA=1
5cosA-2sinA/5cosA+3sinA
 
5*4-2*1/5*4+3*1
=20-2/20+3
  =17-1/10
  =170-1/10
=169/10
=16.9