SOLUTION: You are supposed to show the steps it takes to get the answer: (sec˛x - 6 tan x + 7)/ (sec˛x - 5) = (tan x - 4)/ (tan x + 2)

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Question 993812: You are supposed to show the steps it takes to get the answer:
(sec˛x - 6 tan x + 7)/ (sec˛x - 5) = (tan x - 4)/ (tan x + 2)

Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The answer to what question?

Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!

I assume you want to find the value(s) of that is/are solutions to the equation above.
Solutions must make the expressions above exist.
The functions and must be defined,
and the denominators must not be zero:
<--><--> and
<-->
So far, we know that the solution is such that
.
For any other value of , we try to simplify and solve.
There may be better ways, but this is what I came up with:







<--><--><--><--><--><--> .
The last equation is an identity.
So, the answer is any such that .

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