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Find the exact value. Without using a calculator

a) cos (-17pi/6)

b) sec (3pi/2)

  • trig -

    17/6 = 2 5/6

    that is twice around counterclockwise then -5pi/6
    that is pi/6 below -x axis
    and pi/6 = 180/6 = 30 deg
    so 30 deg below -x axis
    cos of that is -sqrt3/2

    3 pi/2 is 180 + 90 = 270 or on -y axis

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