Question

If 3 tan q = 4,find 2sinq+3cosq/2sinq-3cosq​

Answer 1

Answer:

3 tan q = 4

or, tanq=4/3 =p/b then h=?

using pythagoras theorm, h^2=p^2+b^2

or, h=5

sinq=p/h=4/5

cosq=b/h=3/5

now, 2sinq+3cosq/2sinq-3cosq​

=(2*4/5+3*3/5)/(2*4/5-3*3/5)

=(17/5)/(-1/5)

=-17

Step-by-step explanation:

Answer 2

Step-by-step explanation:

1. given ,

tan q=4/3. from triangle

2sinq+3cosq/2sinq-3cosq=

2(4/5)+3(3/5)/2(4/5)-3(3/5)=

17/5/5/5=

17/5

ANSWER IS 17/5