Forum - Trigonometry

Solve the trigonometric equation

2016-06-26 18:30:27
I don't know how to solve this eq:



RE: Solve the trigonometric equation

2016-06-26 18:43:06
First you need to put the conditions:
x > 0 for log
4-x ? 0 for first radical => x ? 4
2x-1 > 0 for the sec radical => x
So, we get
x ∈ (1/2;4]

And now, the equations become:

But here we have to consider k = 0 and we have
x = 1 ∈ (1/2;4]
So 1 is a good solution




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