If tan x = 3 cot x then x = ?

Foundation

Mathematics Foundation

Introduction to Trigonometry

Question

If tan x = 3 cot x then x = ?

A

60º

B

30º

C

45º

D

15º

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$tanx = 3 cotx \Rightarrow \tan^{2} x = 3 \Rightarrow tanx = \sqrt{3} = \tan 60 º \Rightarrow x = 60 º .$