Simplifying Basic Trig: Use Identities

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The discussion focuses on simplifying the expression involving tangent, cosecant squared, and secant squared functions. Participants clarify the interpretation of the original fraction, suggesting it should be viewed as two separate fractions rather than one combined fraction. They emphasize using basic trigonometric identities, such as expressing cosecant and secant in terms of sine and cosine, to facilitate simplification. The recommendation includes factoring out common terms, specifically tan(x), to streamline the process. Ultimately, the goal is to simplify the expression to a basic trigonometric function.
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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
 
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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?
 
FAT said:
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!)
 

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