SOLUTION: In this problem, we find all x with 0<x<2pi such that tanx +secx =rad3 Find all x with 0<_ x < 2pi that satisfy the original equation.

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Question 1178809: In this problem, we find all x with 0 Find all x with 0<_ x < 2pi that satisfy the original equation.
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
given: and

We use the identity: .

Factorize :



Substitute :



Multiply both sides by :



Now we have two equations:

...(1)
...(2)
--------------------------------------------------

add (1) and (2) , and we have:



use identity


subtract (1) and (2) , and we have:



Since and are positive, then lies in the first quadrant.

Note that




since given that , solution is
(result in radians)
convert to degrees
° (degrees)


Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

Had your post be presented accurately,  I would show/teach you,  how to solve this  (and similar)  problem/problems.

But for the person who presents  Math problem in this way,  I will do  NOTHING.



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