Simplifying Basic Trig: Use Identities

[FAT]

okay so I need help with this. Directions say: "Use the basic identities to simplify to a basic trig function"

Tanx + Tanx
csc(squared)x + sec(squared)x


The lines are fractions. tanx/scs(squared)x for example. I need help with this thanks

 

[ZioX]

A lot of people define csc(x) as 1/sin(x) and sec(x) as 1/cos(x). Furthermore, some people even define tan(x) as sin(x)/cos(x). Does this help you?

 

[HallsofIvy]

okay so I need help with this. Directions say: "Use the basic identities to simplify to a basic trig function"

Tanx + Tanx
csc(squared)x + sec(squared)x


The lines are fractions. tanx/scs(squared)x for example. I need help with this thanks

It is not at all clear what you mean. Since you have "+" both above and below the fractionline I would have interpreted that as
$$\frac{tan x+ tan x}{csc^2 x+ sec^2 x}$$
but then the numerator is obviously 2tan x.

Apparently you mean
$$\frac{tan x}{csc^2 x}+ \frac{tan x}{sec^2 x}$$
As ZioX said, rewrite everything in terms of sin x and cos x and simplify.
(It might be easier to factor tan x out of that and concentrate on what's left!)