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The value of Sin2 5° + sin2 10° + sin2 15° + ...... + sin90° = ...........

1) 23 / 2 

2) 21 / 2 

3) 19 / 2 

4) 17 / 2

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Best answer

 Correct answer is 3) 19  / 2

Sin2 5° + sin2 10° + sin2 15° + ...... + sin90° 

= Sin2 5° + sin2 10° + sin 15° + ...... + sin40° + sin45° + sin90° 

+ cos40° + cos2 35° + ..... + cos5°

= 8 + 1 / 2 + 1 = 19 / 2 

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