SOLUTION: If 25 cosx-3sinx =0 find tanx and cot

Question 1012039: If 25 cosx-3sinx =0 find tanx and cot

Found 2 solutions by ValorousDawn, ikleyn:
Answer by ValorousDawn(53) (Show Source): You can put this solution on YOUR website!
We have
Divide across by cos(x). , with the fact that cos(x) cannot be 0, as we cannot divide by 0.
Rearrange, and simplify to get
Recall that to get
Isolate tan(x) by adding 3tan(x) to both sides and then dividing by 3.
Recall that . Substitute this in to get
However, these are only the terminal angles, you must include multiple revolutions in your answer.

Answer by ikleyn(52810) (Show Source): You can put this solution on YOUR website!
.
The previous tutor found that
= .

It implies that x = , k = 0, +/-1, +/2, . . .

The Tangent function is periodic with the period .

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