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    What is the value of sin 20° cos 10° + cos 20° sin 10°?
    Question

    What is the value of sin 20° cos 10° + cos 20° sin 10°?

    A.

    12\frac 12

    B.

    34\frac 34

    C.

    54\frac 54

    D.

    78\frac 78

    Correct option is A

    Given:
    sin 20° cos 10° + cos 20° sin 10°
    Formula Used:
    sin A cos B + cos A sin B = sin(A + B)
    Solution:
    Here, A = 20° and B = 10°
    sin 20° cos 10° + cos 20° sin 10°
    = sin(20° + 10°)
    = sin 30°
    = 12\frac 12

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