Simplifying tan(x)cos(x) and similar trig products

[Arsonade]

i have some problems (37 actually) that i have tried vvery much to work on and have gotten nowhere

just to give you an example, the first one is

tanx cosx i have to simplify this

the first thing i would do is make it

sinx
cos cosx but after this I am stumped. the other problems are along this same idea

i do not think that i will get much acomplished doing this on a fourum so if anyone would be so kind as to help me, my AIM sn is AdamChess4.

thank you and i would really apriciate any help you can give me.

Adam

 

[whozum]

simplify

$$tan(x)cos(x)$$ ?

$$\frac{sin(x)}{cos(x)}cos(x)$$.. you can't seriously not know what to do next..

 

[Arsonade]

well, i honestly dont, e are just learning this and i am having trouble finding LCDs and factoring these types of operations,
Adam

 

[cepheid]

well, i honestly dont, e are just learning this and i am having trouble finding LCDs and factoring these types of operations,
Adam

Ok. In that expression you have sin x/cos x, so you're dividing by cosine. Then you multiply by cosine. What happens?

 

[Gza]

i'd suggest you brush up on a little algebra before tackling any trig

 

[Jayboy]

I can only imagine you are getting intimidated by the sin(x) and cos(x) functions. Try writing y = sin(x) and x = cos(x) then simplify. Hopefully going through this exercise will be helpful.

 

[Raza]

$$\frac{sinx}{cosx}=tanx$$

$$\frac{sinx}{cosx} \times cosx$$

The two cosx gets crossed out.

then you get sinx

Maybe I am wrong.

 

[eax]

when

x
-- y
y

= x
there's a restriction that y cannot be 0 though, but in most cases its irrelevant

when

x
---
y/x

you change this to multiplication
x * x/y

x^2/y

Hope this helps!