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39 Cards in this Set
- Front
- Back
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Periodic function
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function f for which for some p element of R+, f(x+p) = f(x) for all x element of Domain r
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period
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smallest p element of R+ such that f(x+p) = f(x) for all x element of Domain f
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domain of Sin(x)
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R
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domain of cos(x)
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R
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domain of tan(x)
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R - {n(pi)/2, n is odd}
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domain of csc(x)
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R-{n(pi), n element of J(integers)}
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domain of sec(x)
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R-{n(pi)/2, n is odd}
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domain of cot(x)
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R - {n(pi), n element of J(integers)}
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Range of sin(x)
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[-1,1]
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Range of cos(x)
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[-1,1]
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Range of tan(x)
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R
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Range of csc(x)
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(-infinity,-1)U(1,infinity)
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Range of sec(x)
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(-infinity,-1)U(1,infinity)
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Range of cot(x)
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R
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Period of sin(x)
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2pi
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Period of cos(x)
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2pi
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Period of tan(x)
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pi
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Period of csc(x)
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2pi
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Period of sec(x)
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2pi
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Period of cot (x)
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pi
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(Even/odd) sin(x)
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odd
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(Even/odd) cos(x)
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even
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(Even/odd) tan(x)
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odd
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(Even/odd) csc(x)
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odd
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(Even/odd) sec(x)
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even
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(Even/odd) cot(x)
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odd
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zeros of sin(x)
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n(pi), n is element of J (integers)
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zeros of cos(x)
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n(pi)/2, n is odd
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zeros of tan(x)
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n(pi), n is element of J
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zeros of csc(x)
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none
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zeros of sec(x)
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none
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zeros of cot(x)
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n(pi)/2, n is odd
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vert. asymptotes sin(x)
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none
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vert. asymptotes cos(x)
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none
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vert. asymptotes tan(x)
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x=n(pi)/2, n is odd
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vert. asymptotes csc(x)
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x=n(pi), n is element of J
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vert. asymptotes sec(x)
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x=n(pi)/2, n is odd
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vert. asymptotes cot(x)
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x=n(pi), n is element of J
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amplitude
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1/2(M-m) where m is maximum and m is minimum
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