Which points are on the graph of y = tan x? Select all that apply. (1 point) (5.9 3 H | P N Which of the following statements are true about the graph of f(x)=secx? Select all that apply. (1 point) (0,1) is a point on the graph. S (x) is defined for all x. T There is a vertical asymptote at x = 5 . /() is undefined when sin x = 0. All x-values are included in the domain. Which pair of functions have the same domain? (1 point) O f ( x) = csc x and g (x)= tan x O f ( x) = cos x and f (x) = sec x O f (x) = sin x and f (x) = cos x O f ( x) = sec x and f (x) = cot xWhich trigonometric function has a range that does not include 0.4? (1 point) O y = cos x O y = cot x O y = CSC X O y = sin xWhich function has no zeroes? Select all that apply. (1 point) O y = cos x O y = cot x O y = csc x O y = sec x O y = sin x O y = tan xWhat is one example of an odd trigonometric function? Show that your function meets the criteria for an odd function. (2 points) Which trigonometric functions are equivalent to tan 87 Select all that apply. (1 point) ~tan(-&) - tan & tan(-&) tan (8 + 27) tan [9+] 2 What is the period of the function y = 2sin 3x- - 6 +4 ? (1 point) O O O 3 On O 2nWhich function does not have an asymptote? (1 point) O y = sec x O y = cot x O y = CSC x O y = cos xHow do the graphs of f( x) = sin x and g (x) = sin 2x+3 compare? Select all that apply. (1 point) O The amplitude of g (x) is double the amplitude of f (x) . O g(x) and f (x) have the same zeroes. O g (x) is shifted 3 units higher than f (x) . O g(x) is shifted 3 units to the left of f (x) . O g (x) has a period that is half the period of f (x) .\f\f\fWhich functions have the same transformations as f( x) = 2csc(x-1)-3? Select all that apply. (1 point) Of ( x)= 2(x-1)? - 3 O f(x)= 4(x-1) x - 3 O f(x) = 2sin (x- 3) Of( x) = 2e*-1 -3 O ( x-1) + (y-3) = 2Use the graph to answer the question. What is the equation of the graphed trigonometric function? (1 point) C2 O y = tan | 5 x ] +2 O y = tan - X -2 2 2 2-2 2 2 2 O y= tan (2x) - 2 4 O y = tan (2x)+ 2Which function has the largest amplitude? (1 point) Of (x)=-3sin x- +1 4 O f(x) = 2cosx+3 Of ( x) = sin 5x+ 1-4 3 O f(x) = -2cos(4x+ 3>)- 6The graph of which trigonometric function(s) include the point (0,3)? Select all that apply. (2 points) O y = cos x + 3 O y = 3 cos x O y = sin 2x + 3 O y = tan x + 3 O y= sin 3x+~ +1The data in the table represents the average number of daylight hours each month in Springfield in 2015, rounded to the nearest quarter-hour. Hours E 13.25 14.5 15 14.75 13.75 Write an equation that best models the data. What is the expected number of daylight hours in March 2020? Explain. 4 points) A statistician is analyzing data to find a model. She has determined the following characteristics of the data. Which characteristic of the data defines the period? (1 point) The initial value is 5. All of the values are negative. The difference between the maximum and minimum values is 10. The data repeats every 4 minutes. Explain why domain restrictions are necessary to create inverse trigonometric functions rather than relations. (4 points) \f\f\fSafari File Edit View History Bookmarks Window Help zoom Tue Feb 20 10:19 PM . . . connexus.com Trigonometric Functions Test Part 1 20 of 24 Item 17 A telephone pole that is 14 ft. tall has fallen against a house. If the top of the telephone pole touches the house 8 ft. above the ground, what is the angle that the telephone pole makes with the ground? tem 18 (1 point) Item 19 O 29.7 Item 20 O 55.20 O 60.3 Item 21 O 34.8 Item 22 Item 23 Item 24 Next 8.856 M 20 " tv J Q N 9 14 Aa zoomA telephone pole that is 14 ft. tall has fallen against a house. If the top of the telephone pole touches the house 8 ft. above the ground, what is the angle that the telephone pole makes with the ground? (1 point) 29.7 55.2 60.3 34.8 Evaluate tan (cos-la). (1 point) O V1 - a2 1-Q2 O v1-al O v1-a o avi-a2 1- a2Explain why sin-1 | sin (3x ]] - 3 3 x 4 when y = sin x and y = sin x are inverses. (4 points) BI! WIN-A man is in a tree house 10 ft. above the ground. He is looking at the top of another tree that is 22 ft. tall. The bases of the trees are 30 ft. apart. What is the angle of elevation from the man's feet to the top of the tree? Round to the nearest degree. (1 point) 68 66 24 22 A weight is attached to a spring that is oscillating up and down. It takes 3 sec. for the spring to complete one cycle, and the distance from the highest to lowest point is 4 in. What equation models the position of the weight at time seconds? (1 point) y=2sin w Xy W = = b S N y=4sin 27 = 2sin| y=2sin 3 J 27 =4sin| # y=4sin 3 j y=2sin 371'1) y=4sin 371'1)