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Evaluate the following: 2tan2 45° + cos2 30° − sin2 60° - Mathematics

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Question

Evaluate the following:

2tan2 45° + cos2 30° − sin2 60°

Sum
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Solution

2tan2 45° + cos2 30° − sin2 60°

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

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

= `2+3/4 - 3/4`

= 2

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Chapter 8: Introduction to Trigonometry - Exercise 8.2 [Page 187]

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NCERT Mathematics [English] Class 10
Chapter 8 Introduction to Trigonometry
Exercise 8.2 | Q 1.2 | Page 187
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