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Precalculus

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Determine the exact value of cos 465 degrees

a) √3 + √2/2

b) √2 + √3√2/4

c)√2 - √3√2/4

d)2+√2-√3√2/4

  • Precalculus -

    cos 465°
    = cos(105+360)°
    = cos 105°
    = cos(60+45)°
    = cos60cos45 - sin60sin45
    =(1/2)(√2/2) - (√3/2)(√2/2)
    = (√2 - √6)/4

  • Precalculus -

    I think c) comes closest if you had typed it correctly as

    (√2 - √3√2)/4 which then is the same as mine

  • Precalculus -

    Ok, thank you!

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