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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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