Math Trig

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13. What is the equation of a cosine function with amplitude 3, transition point (−1, 1), and period p?

A. y = p cos [3(x − 1)] − 1
B. y = 3 cos [2(x − 1)] + 1
C. y = 3 cos [p (x + 1)] − 1
D. y = 3 cos [2(x + 1)] + 1


16. What is the transition point of y = 100 tan (6x) + 4?

A. (0, −4)
B. (6, −4)
C. (0, 4)
D. (6, 4)

20. cot–1 −0.57735 is approximately

A. −1.05.
B. 2.09.
C. −0.65.
D. 2.62.

  • Math Trig -

    13.
    amplitude 3: 3cos(...)
    period p: 3cos(2pi(...)/p) ...
    translate by (-1,1): 3cos(2pi(x+1)/p) + 1
    So, it appears to be (D), if by p you mean pi.

    16: (0,4): (C)

    20: (A)

    Your use of transition point appears unusual. In #13 the only possible interpretation, given the answer choices, is to use (-1,1) as coordinate translation. Yet transition points are usually max/min or inflection points. Using that same logic gives me (C) on #16.

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