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Algebra II

posted by on .

1)Find the exact value of sin 165 degrees.

Answer: (sqrt6 + sqrt2)/4

2) Simplify: (4m/5n^2)- (n/2m)

Answer: (8m^2-5n^3)/10n^2m

Thanks

  • Algebra II - ,

    The answer they gave you for the first one is not correct.
    Here is the right way:

    sin 165
    = sin(120+45)
    = sin120cos45 + cos120sin45
    = sin60sin45 + (-cos60sin45)
    = (√3/2)(√2/2) - (1/2)(√2/2)
    = (√6 - √2)/4

    (my answer checked with calculator)

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