Trig

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How do I find all solutions in the interval [0, 2Pi):

cotx=cscx-1

the answer choices are:
a.) x=Pi/2
b.) x=Pi/2 and 3Pi/2

  • Trig -

    pi/2 surely works, (try subbing it in)

    remember that 3pi/2 is 270º

    tan 270º is undefined, so cot 270º = 0
    LS = cot 3pi/2 = 0
    RS = 1/sin 270 - 1 = 1/-1 - 1 = -2
    so 3pi/2 does not work.

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