Posted by **yeahyeah** on Saturday, July 14, 2012 at 6:34am.

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 -
**Steve**, Saturday, July 14, 2012 at 12:05pm
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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