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If tan x = 3 cot x then x = ?

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Question

If tan x = 3 cot x then x = ?

Options

  • 60°

  • 45°

  • 30°

  • 15°

MCQ
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Solution

60°

Explanation:

tan x = 3 cot x

⇒ `tan x = 3 xx 1/(tan x)`

⇒ tan2x = 3

⇒ `tan x = sqrt(3)` = tan 60°.

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Chapter 11: T-Ratios of Some Particular Angles - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 576]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 11 T-Ratios of Some Particular Angles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 8. | Page 576
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