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  1. Value of the expression :
    1 + 2sin 60° cos60°
    +
    1 - 2sin 60° cos60°
    is
    sin 60° + cos60°sin 60° - cos60°
    1. 2 √3
    2. 0
    3. 3
    4. 2
Correct Option: C

Expression

2 + √3
+
2 - √3
3
+ 1
3
- 1

=
(2 + √3)(√3 - 1) + (√3 + 1)(2 - √3)
(√3 + 1)(√3 - 1)

=
2√3 - + 3 - √3 + 2√3 - + 2 - √3
3 - 1

=
4√3
- 2√3
=
2√3
= √3
22



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