# Trigonometry

posted by .

In this problem, you will describe in detail how we arrive at the accepted definition of the function y= Arccsc(x)

a) Sketch the cosecant function over the interval (-2pi, 2pi)

i can do that

b) This function is not one to one - please explain in detail the meaning of this

???

c) how would you restrict the domain of the cosecant function so that it becomes a one to one function?

???

d) By restricting the function as described in part c) what is the domain and range of this resulting function. Use interval notation.

e) From part d) what is the domain and range of the inverse function
y = arccsc(x).

• Trigonometry -

After you graph it you will find that more than one angle has the same csc. For example csc 30 deg = 2 and csc 150 deg is also 2
if you restrict the domain to one quadrant you are all set.

## Similar Questions

1. ### calc

i did this problem and it isn't working out, so i think i'm either making a dumb mistake or misunderstanding what it's asking. A particle moves along the x axis so that its velocity at any time t greater than or equal to 0 is given …
2. ### trigonometry

Graph the function f(x)=-1/2sin2x+1 on the interval [-2pi, 2pi]
3. ### trig

find the period and amplitude of each sine function.then sketch each function from 0 to 2pi: 1)y=-3.5 sin 5theta
4. ### Math

Can I please get some help on these questions: 1. How many solutions does the equation,2sin^2 2 θ = sin2θ have on the interval [0, 2pi]?
5. ### Trigonometry

Graph the function y=2sin(x-2pi/3). To draw the graph, plot all x-intercepts, minima and maxima within on period. I need to graph at least 5 points. I have -pi, 0, pi, 2pi, 3pi, and 4pi along the x-axis
6. ### Trig help

1. What is the period of the function? y = 4 cos pi x A. 1 B. 2 C. pi D. 2pi 2. Which represents the reference angle for 2pi/3?
7. ### Pre calculus/ Advanced Functions

Samuel is investigating the rate of change of the function f(x) = cos x on the interval xE[0, 2pi]. He notices that the graph of f(x) passes through the x-axis at pi/2. He also determines the instantaneous rate of change at x = 0, …
8. ### ordinary differential equation

a periodic function f(t) is defined by f(t) = t+pi -pi<t<0 f(t) = pi 0<t<pi f(t) =f(t+2pi) i) sketch the graph of the periodic function over the interval (-3pi, 3pi) II) find the Fourier Series of f(t)
9. ### Algebra2

Find the values of the inverse function in radians. 1. sin^-1(0.65)?
10. ### Algebra 2

Find the values of the inverse function in radians. sin^-1(0.65) a. 0.71+2pi n and -0.71+2pi n b. 0.71+2pi n and -3.85+2pi n c. 0.86+2pi n and -0.86 +2pi n d. -0.61+2pi n and 2.54+2pi n 2. tan^-1(0.09) a.-0.09+2pi n b. no such angle …

More Similar Questions