Question

2 cot A = 3
Find the value of
5 sin A - 2 cos A/6 cos A + sin A
@ganeshie8
@Hero
@iambatman
@Directrix
@butterflydreamer

Answer 1

\[\frac{ 5 \sin A - 2 \cos A}{ 6 \cos A + \sin A }\]

Answer 2

@Nnesha

Answer 3

cot A = cos A / sin A

If 2 cot A = 3, then cot A = 3/2 and cos A / sin A = 3/2

Answer 4

On cos A / sin A = 3/2 , cross multiply to get

3 sin A = 2 cos A

Answer 5

Look at just the numerator of the fraction (5 sin A - 2 cos A)/(6 cos A + sin A)

Answer 6

(5 sin A - 2 cos A). Keep in mind that 3 sin A = 2 cos A and make substitutions.

If 3 sin A = 2 cos A, then the numerator 5 sin A - 2 cos A = 5 sin A - 3 sin A = 2 sin A.

See if you agree with that. @AaronAndyson Note that we still have to work with the denominator.

Answer 7

Yes.
I understood this, now what?

Answer 8

Please stay with me in this thread while we are working.

Answer 9

okay.

Answer 10

If 3 sin A = 2 cos A, then 6 cos A + sin A = 9 sin A + sin A = 10 sin A in the denominator.

Answer 11

From above the numerator is: 2 sin A.
The denominator is: 10 sin A

2 sin A / 10 sin A = 2/10 = 1/5

Answer 12

Look at that and see what you think.

Answer 13

#justgotlost

Answer 14

can you explain it again?

Answer 15

I have written out all of the steps. When I was doing most of them, I did not realize that you were observing another thread and were not here.

I think that what I have written is clear enough for you to go back and read.

If you have a specific question, then I will try to answer that.

Answer 16

I was here all the time.
The thing is I had a sleepless night.

Answer 17

I saw this which gave the idea that you were elsewhere.

Answer 18

My lil bro must be using it :)

Answer 19

and I keep multiple tabs of OS open.

Answer 20

@ganeshie8

Answer 21

@Nnesha

Answer 22

@perl
@Preetha

Answer 23

@ganeshie8

Answer 24

@Hero

Answer 25

@ParthKohli