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2 Tan 30 ° 1 + Tan 2 30 ° is Equal to - Mathematics

MCQ

\[\frac{2 \tan 30° }{1 + \tan^2 30°}\]  is equal to

Options

  • sin 60°

  • cos 60°

  •  tan 60°

  • sin 30°

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Solution

We have to find the value of the following expression 

`(2 tan 3θ°)/(1+ tan^2 30°)`

`(2 tan 30°)/(1+tan ^2 30°)` 

=`(2xx1/sqrt3)/(1+(1/sqrt3))`

= `(2/sqrt3)/(1+1/3)`

=`(2/sqrt3)/(4/3)` 

Since tan 60°=`sqrt3/2`  , since tan 30°= `1/sqrt3` 

=`sqrt3/2`

= `sin 60°` 

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

RD Sharma Class 10 Maths
Chapter 10 Trigonometric Ratios
Q 26 | Page 58
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