1. Which one of the six trigonometric. functions has a period of 2 and an asympt

Question

1. Which one of the six trigonometric. functions has a period of 2 and an asymptote ofx-z? 2. Give all of the basic trigonometric functions that satisfy the condition f(x + ) = f(x). 3. Use the ranges to explain why the cotangent function can attain the value of 20 but the sine function cannot. 4. True or false: y= 3 cos x andy-3 sin| x+- 2 have the same graph. What is the minimum value ofy =-5 + 2 cos 4x? sine function with am plitude 3 and period 4 ? a. y=3sin 2x c. y=3 sin 4x 6. Which of the following is the equation of the 2 d. y 3 cos (x+ 4) For each defined function, give the amplitude, period, vertical translation, and phase shift, as applicable. 7, y = 5 sin x 8, y=csc 2x +1 10. y=3.5-cotx

Explanation / Answer

trignometric function y=csc(x) is the function we are looking for.

Its period is 2pi and it has a verical asymptote as x=n*pi

so when n=1 the asympote is at x=pi

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