Question:
How to solve tan 2x =tan 2/x
Answer:
Given, tan 2x = tan 2/x
=> tan 2x - tan 2/x = 0
=> tan{(2x - 2/x)/(1 + 2x * 2/x)} = tan 0
=> (2x - 2/x)/(1 + 2x * 2/x) = 0
=> 2x - 2/x = 0
=> (2x2 - 2)/x = 0
=> 2x2 - 2 = 0
=> 2(x2 - 1) = 0
=> x2 - 1 = 0
=> (x - 1)*(x + 1) = 0
=> x = 1, -1
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