Question

Trigonometry Help

Simplify the Expression:

((9cos x)/(sin^2 x))((sin x cos x - 7sin x)/(cos^2 x - 49))

Answer 1

if you cant understand the problem typed out, i attached a picture of it

Answer 2

yes, you can cancel out the top sinx and and denominator one becomes just sin x. Then the cos x/ sin x becomes cot x in de numenator

Answer 3

but you can also factor the bottom as (cos x -7) (cos x + 7)...that way you can cancel out the top (cos x -7) and the denominator one

Answer 4

ahh i knew something had to cancel with that 7 and 49

Answer 5

alright lets esee if i can get it now

Answer 6

so the final answer would be

Answer 7

correct? or i can go farther?

Answer 8

doesnt look like it ogg (this is stupid, backspace wont work) goes farther

Answer 9

cot x = 1/ tan x... so you can turn it into 9/ tan x (cos x +7)... can you simplify that?

Answer 10

i dont thin so

Answer 11

oh wait, maybe i think i know how

Answer 12

would you do tan x = sin/cos

Answer 13

tan x = sin x/ cos x -> tanx * cos x = sinx -> 9/sin x + 7 tan x... it's not really simpler than the previous version, but in some cases you might use the latter version.

Answer 14

so it would become 9/(sin/cos)(cosx +7)

Answer 15

sorry i sent that before you sent that last message.

Answer 16

you learn to simplify such expressions because when you have to do limits, derivatives and integrals you might want to play around with a simpler version

Answer 17

alright good to know, ill just write down both answers and talk to my professor tomorrow and see which he would prefer as the answer.

Answer 18

i really appreciate that help

Answer 19

No prob :-)