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I have a test tomorrow! please help!?

I need to understand how to do this

how do i find the all the values of alpha from 0 degrees to 360 degrees when the sec3alpha=-square root of 2???

the answers are 45,75,165,195,285,315

1 Answer

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  • 7 years ago
    Favorite Answer

    sec3alpha=-square root of 2

    1/cos(3t) = - sqrt(2)

    cos(3t)/1 = 1/-sqrt(2)

    = - 1/sqrt(2)

    3t = cos^-1(-1/sqrt(2))

    = 135, 225, 495, 585,855, 945

    t = 135/3, 225/3, 495/3, 585/3 855/3 945/3

    = 45, 75, 165, 195 285, 315

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