SOLUTION: In this problem, we find all x with 0<x<2pi such that tanx +secx =rad3 Use sin^2x+cos^2x=1 to find cosx.

Question 1178808: In this problem, we find all x with 0 Use sin^2x+cos^2x=1 to find cosx.
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: to find

..........factor

.....1)

and

.......substitute from 1)

use the identity: to find

.....square both sides

solutions:

if =>
or
if =>=>

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

is denominator, so disregard this solution

(result in radians)-> your solution

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.

----------------

Regarding the solution by @MathLover1, I can say, that for a standard/routine/regular
school Math problem, the solution should not be longer than 10 lines of the standard text (as an average).

If it is significantly longer, I'd think that something is out of the order in the solution.

I'd say then, that something is out of the order EITHER in the solution itself, OR in its methodology,
OR in the way of teaching.

Actually, there is a clear, straightforward classic elegant solution
to this and similar problems in 5 - 6 lines long.

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