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1 − Tan 2 45 ° 1 + Tan 2 45 ° is Equal to - Mathematics

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Question

\[\frac{1 - \tan^2 45°}{1 + \tan^2 45°}\] is equal to 

Options

  • tan 90° 

  • 1

  • sin 45° 

  • sin 0°  

MCQ

Solution

We have to find the value of the following 

`(1- tan^2 45°)/(1+tan^2 45°)`

so 

`(1-tan^2 45°)/(1+tan^2 45°)` 

=`(1-(-1)^2)/(1+(1)^2)`

=`0/1`

=` 0` 

We know that tan `45°=1`

              ` sin 0°=0`

= `sin 0°`

 

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Chapter 10: Trigonometric Ratios - Exercise 10.5 [Page 58]

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RD Sharma Mathematics [English] Class 10
Chapter 10 Trigonometric Ratios
Exercise 10.5 | Q 27 | Page 58
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