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Choose the correct option and justify your choice : (2 tan 30°)/(1-tan^2 30°) - Mathematics

MCQ

Choose the correct option and justify your choice :

`(2 tan 30°)/(1-tan^2 30°)`

Options

  • cos 60°

  • sin 60°

  • tan 60°

  • sin 30°

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Solution

`(2 tan 30°)/(1-tan^2 30°)`

`=(2(1/sqrt3))/(1-(1/sqrt3)^2) = (2/sqrt3)/(1-1/3) = (2/sqrt3)/(2/3)`

`= sqrt3`

Out of the given alternatives, only tan 60° = `sqrt3`

Hence, tan 60° is correct.

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 10 Maths
Chapter 8 Introduction to Trigonometry
Exercise 8.2 | Q 2.4 | Page 187
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