Prove that the general solution of cotx + tan(60-x)tan(60+x) = 0 is x= n?/3 + ?/4

Asked by  | 13th Nov, 2012, 01:07: PM

Expert Answer:

Cot x + tan(60-x).tan(60+x)=0

Using identity, tanx.tan(60-x).tan(60+x)=tan3x

We have:

cot x + tan 3x/tanx=0

1+tan3x=0

tan3x=-1

So general solution will be

3x= n? +3?/4, n belongs to I

x = n?/3+?/4

Answered by  | 18th Nov, 2012, 04:41: PM

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