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Trigonometry Test - 6

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Trigonometry Test - 6
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  • Question 1
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    The value of sin 10° sin 30° sin 50° sin 70° is equal to

    Solution

    sin 10o sin 30o sin 50o sin 70o
    = ½. ½ (2sin 10o sin50o) sin 70o

    = ¼ (cos 40o - cos 60o) sin 70o
    = (1/8) (2sin 70o cos 40o - sin 70o)

    = (1/8) (sin110o + sin 30o - sin 70o)
    = (1/8)(sin 70o + (1/2) - sin 70o)

    = 1/16.

     

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