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The value of sin² 30+ sin² 40+ sin² 45+ sin² 55 sin² 35+ sin² 45+ sin² 50+ sin² 60 is:
Question

The value of sin² 30+ sin² 40+ sin² 45+ sin² 55 sin² 35+ sin² 45+ sin² 50+ sin² 60 is:

A.

2

B.

4

C.

3

D.

1

Correct option is B

sin² 30+ sin² 40+ sin² 45+ sin² 55 sin² 35+ sin² 45+ sin² 50+ sin² 60
sin² 30+ sin² 60+ sin² 40+ sin² 50+ sin² 45+ sin² 45+ sin² 55+ sin² 35
sin² 30+ cos² 30+ sin² 40+ cos² 40+ sin² 45+ cos² 45+ sin² 55+ cos² 55
1 + 1 + 1 + 1 = 4

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