Posted by **Anna** on Wednesday, October 20, 2010 at 11:32pm.

sin x + cos x

-------------- = ?

sin x

sin x cos x

----- + ----- =

sin x sin x

cos x/sin x = cot x

this is what i got, the problem is we have a match the expression to the equation work sheet and this is not one of the answers. need to figure out what im doing wrong so i can get the rest worked right. thanks

- pre calc trig check my work please -
**MathMate**, Thursday, October 21, 2010 at 8:55am
I do not see why you changed the + into a ÷, namely:

from:

sin x cos x

----- + ----- =

sin x sin x

(which I see as sin/sin+cos/sin)

But sin x/sin x = 1, and

cos x/sin x = cot x

so the sum is 1 + cot x.

- pre calc trig check my work please -
**Reiny**, Thursday, October 21, 2010 at 8:57am
not quite, but you are close

(sinx + cosx)/sinx

= sinx/sinx + cosx/sinx

= 1 + cotx

you left out the "1"

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