Answered: Table 4.10 Graphs of the Three Basic…

Table 4.10 Graphs of the Three Basic Inverse Trigonometric Functions y y y = tanx y = cos y = sinx Domain: [-1, 1] Domain: [-1, 1] Domain: (-0, ) Range: -5, Range: [0, 7] Range: (-5)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.2: Trigonometric Functions Of Angles

Problem 89E

See similar textbooks

Related questions

Q: - Find the exact value of tan cos 8.

A: tancos-1-78

Q: Sketch the graph and give its properties for each of following functions. 1. y = 2 sin 4x 2. y = -2…

A: As per our guidelines, I can answer maximum one question. To know rest, please repost the particular…

Q: Find the period, amplitude, and phase shift of the function. y= -3 - 4 sin( 3x - (π/4) ) Give the…

Q: Find the function value. sin 2.3581

A: Given sin 2.3581

Q: 2 sin(27x) Part C. Explain and demonstrate how to find the amplitude, period, and phase shift of f…

A: Given query is to find the amplitude , period and phase shift for the function.

Q: Find the exact simplified Function value COs cos/

A: To find

Q: How does the formula for the general sine function ƒ(x) = A sin ((2p>B)(x - C)) + D relate to the…

Q: For the function y =-2 sin(), complete the following table using the scadard "5 points" discussed in…

A: Table to sketch one complete cycle of y=-2 sin 12xx y=-2 sin (12x)00π-2-π22π0-2π0

Q: For the function y = -3 sin(4x), complete the following table using the standard "5 points"…

A: We have to draw the graph

Q: The graph of sin x can be obtained from the graph of cos x by options: a) a horizontal translation…

Q: 1. (a) Carefully graph f(x)=sin(x) from 0 to 27 by plotting points every radians.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the inverse of the following function and state its domain. f(x) = 12 cos(7æ) +4 Type 'arccos'…

A: Let's find.

Q: Determine the amplitude, period, and phase shift of the function. Graph the function. 1 sin x-

Q: This exercise explores the effect of the inner function g on a composite function y = f(g(x)). Graph…

A: Let us draw the graph of both the functions:

Q: 8. For the function y = -2 sin(r), complete the following table using the standard "5 points"…

Q: 4. State the domain and the range of the cosine function.

A: The domain and range of Cosine function is determined directly from its definition. Cosine function…

Q: 3元 2元元 R一2 三

A: Trigonometric function

Q: 3. Plot the inverse hyperbolic sine function and the inverse hyperbolic cosine function in the same…

Q: 12) Find the exact value, if any, of the composite function. sin-1 (tan ())

A: Our aim is to find the exact value(if any possible value) of the composite function sin-1[tan(π2)]…

Q: Consider the function y= -1.5 cos ((pi/2)x) state the period and amplitude and sketch one cycle of…

Q: Sketch the graph of the following functions: state the domain and range of the function.…

A: Sketch the graph of f(x)=cos-1(x) as follows.

Q: 1 For each defined function, give the amplitude, period, vertical translation, and phase shift, as…

A: Topic = Trigonometric equations

Q: Graph the function y=-cos (x) on [0,pi]

A: Giveny = -cos x

Q: How does the formula for the general sine function ƒ(x) = A sin ((2pai/B)(x - C)) + D relate to the…

A: Consider the given sine function.

Q: Use the graph of the sine to sketch one period of the graph of the function. y = −1 + 2 sin(2x…

A: It is given that, y=-1+2sin2x-π2 It is known that, if f(x) has period P, then function f(ax+b) has…

Q: Sketch the graph of the following trigonometric function f(x)=8cos((x)/(3)-(3\pi )/(5)). and…

Q: State the amplitude, period, phase shift, and mid-line of f(x) = 6 sin(2x + 7) – 3. You do not need…

A: (a) Given Data: Function: fx=6sin2x+π-3 ......1 The graphing trigonometric function is,…

Q: Find a function of the form y = A sin(kæ) + C or y = A cos(ka) + C whose graph matches this one: -7…

Q: What does the midline, period, amplitude, and horizontal shift of a graph represent in the real…

A: Amplitude is the vertical distance between the midline and one of the maximum or minimum points. We…

Q: Graph the function over a one-period interval. y=tan(x/8) Which graph below shows one period of…

Q: Find the amplitude, the period, any vertical translation, and any phase shift of the graph of the…

A: Note :- 1) The Amplitude is the height from the center line to the peak (or to the trough). Or we…

Q: 3. Plot the inverse hyperbolic sine function and the inverse hyperbolic cosine function in the same…

A: Given:

Q: Algebraically find an equivalent function, only in terms of both sin(x) and cos(x), and then check…

Q: Determine the amplitude and period of the following function without graphing. y = 9 sin x For the…

Q: Which of the following graphs below describes y = 2 sin(-x)

A: As we know from the graphical transformation; 1). If the graph of the function is stretched by a…

Q: Find a possible formula for the graph. 3 4. 8. NOTE: Enclose arguments of functions in parentheses.…

Q: Find the exact value, in radians, of the expression cos - 1 (- 1). Use a graph to help picture the…

A: Given: cos^-1(-1)

Q: Sketch the graph of the following function in one rectangular coordinate plane. Compare the behavior…

A: The functions 1. y=2sinx-π4 2. y=sin2x+3π2 3. y=sin2x+π2

Q: For a function to have an inverse, it must be. To define the inverse sine function, werestrict the…

A: Given Sinx

Q: Find the equation of the cos function whose graph is the graph of y = - 2 cos 2(x-pi/4)+1 shifted…

A: We have to find the equation of the cos function whose graph is the graph of y=-2cos2x-π4+1 shifted…

Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b > 0. Determine the…

A: In the graph, at x=0, y=5 First check y=a sinbx at x=0, y=5 5=a sin0 5=0 ∵sin(0)=0…

Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b> 0. Determine the equation…

A: The given graph is, To find its equation.

Q: Sketch the graph of the function. Show complete solution on the upper half of the graphing paper…

Q: The population of fish in a pond can be modeled with the following sinusoidal function, where t is…

Q: 9. 1 Sketch the graph of g(x)=sin5x, using the amplitude and the period.

A: Solve the following

Q: Transformations were applied to the graph of g(x) = cos x to produce the graph of v(x) = 20cos(10x).…

Q: order to make the inverse functions of sine and cosine one- -one functions, we need to restrict the…

Q: Which is the correct function for the graph below? Each vertical mark is 1 unit. -21T -TT TT 2TT…

A: In this question we need to find a function from a graph.

Q: Transformations were applied to the graph of g(x) = sin x to produce the graph of v(x) = 16sin(8x).…

A: We can solve this as follows:

Q: Let f(x) = 2 sin(2ræ) – 1 Part C. Explain and demonstrate how to find the amplitude, period, and…

A: Topic =Functions

Question

The graphs of y = sin^-1 x, y = cos^-1 x, and y = tan^-1 x are shown in the given table. Use transformations (vertical shifts, horizontal shifts, reflections, stretching, or shrinking) of these graphs to graph the function f(x) = sin^-1(x-2) - π/2. Then use interval notation to give the function’s domain and range.

Table 4.10 Graphs of the Three Basic Inverse Trigonometric Functions
y
y
y = tanx
y = cos
y = sinx
Domain: [-1, 1]
Domain: [-1, 1]
Domain: (-0, )
Range: -5,
Range: [0, 7]
Range: (-5)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Given,

VIEW

Now the graph is,

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Graphs$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.