with a sine function. 7. The graph of y = a sin x +3, a 2 3, never touches the x- axis. %3D _8. The graph of y cos x + a, a > 1 has infinitely many x-intercepts. 9. The cotangent function is the inverse of tangent function. 10. The cosine graph is the same as the sine- degrees, or . Therefore, cos x = sin x +. only it's shifted to the left by 90 TT Jettor that correspond to your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 40E
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Related questions
Question
TRUE OR FALSE NUMBERS 7, 8, 9, 10
anly Sticly NO ERA
refully the statements below Wrte TRUEe
e, FALSE. Use the space provided before each Aom (1 po ecy
1. If the terminal side of an angle @ is in the second quadrant
its reference angle is 30
_2. If the period of any given circular function is less than 2r (angle measuredin
radians), then the graph is compressed horizontally.
3. If the graph is stretched vertically, then its amplitude is greater than 1.
4. The amplitude of the function y 2 tan 2x + 2 is 2.
5. If sin e > 0 and cos 6 < 0,0 s0 < 360°, then angle 0 is between 90° and 180
6. Any situation that can be modeled with a cosine function can also be modeled
with a sine function.
7. The graph of y = a sin x + 3, a 2 3, never touches the x- axis.
8. The graph of y = cos x+ a, a > 1 has infinitely many x-intercepts.
9. The cotangent function is the inverse of tangent function.
10. The cosine graph is the same as the sine-only it's shifted to the left by 90
degrees, or. Therefore, cos x = sin x +
analyze the questions then encircle the letter that correspond to your answer.
ach)
If cos e = and e is in the fourth quadrant, what is cot 0?
%3D
77
2V77
A.
С. -
77
77
21
B.
D.
9/77
77
15
If sin 0
and 0 is in the third quadrant, what is tan 0?
17'
15
A.
15
8.
15
B.
D.
15
8.
Which of the following has an amplitude equal to 2?
A. f(x) = sin 2x
B. f(x) = 2 tan 2x
Which of the following has a period equal to ?
A. f(x) = sin 2x
B. f(x) = 2 tan 2x
C. f(x) = 2 cscx
D. f(x) = -2 cos 2x
%3D
%3D
C. f(x) = 2 cscx
D. f(x) = -2 cos 2.x
%3D
Transcribed Image Text:anly Sticly NO ERA refully the statements below Wrte TRUEe e, FALSE. Use the space provided before each Aom (1 po ecy 1. If the terminal side of an angle @ is in the second quadrant its reference angle is 30 _2. If the period of any given circular function is less than 2r (angle measuredin radians), then the graph is compressed horizontally. 3. If the graph is stretched vertically, then its amplitude is greater than 1. 4. The amplitude of the function y 2 tan 2x + 2 is 2. 5. If sin e > 0 and cos 6 < 0,0 s0 < 360°, then angle 0 is between 90° and 180 6. Any situation that can be modeled with a cosine function can also be modeled with a sine function. 7. The graph of y = a sin x + 3, a 2 3, never touches the x- axis. 8. The graph of y = cos x+ a, a > 1 has infinitely many x-intercepts. 9. The cotangent function is the inverse of tangent function. 10. The cosine graph is the same as the sine-only it's shifted to the left by 90 degrees, or. Therefore, cos x = sin x + analyze the questions then encircle the letter that correspond to your answer. ach) If cos e = and e is in the fourth quadrant, what is cot 0? %3D 77 2V77 A. С. - 77 77 21 B. D. 9/77 77 15 If sin 0 and 0 is in the third quadrant, what is tan 0? 17' 15 A. 15 8. 15 B. D. 15 8. Which of the following has an amplitude equal to 2? A. f(x) = sin 2x B. f(x) = 2 tan 2x Which of the following has a period equal to ? A. f(x) = sin 2x B. f(x) = 2 tan 2x C. f(x) = 2 cscx D. f(x) = -2 cos 2x %3D %3D C. f(x) = 2 cscx D. f(x) = -2 cos 2.x %3D
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