Pre-Cal: Word Problem

I'm having a lot of trouble on this word problem. Can someone help me plz?

To define the inverse sine function, we restrict the domain of sine to the interval ______. On this interval the sine function is one-to-one, and its inverse function
sin^−1 is defined by sin^−1 x = y ⇔ sin_______=_______.
For example,
sin−1 (1/2)=_______ because sin_____=______.

(b) To define the inverse cosine function we restrict the domain of cosine to the interval_______. On this interval the cosine function is one-to-one and its inverse function
cos^−1 is defined by
cos−1 x = y ⇔ cos_______=________.
For example,
cos^−1(1/2)=_______ because cos_____=______.
.

  1. 👍
  2. 👎
  3. 👁
  1. I don't agree the sine and inverse sine functions are one to one. The sine function is cyclic.

    arcsin(1/2)=30 deg and 150 and ...

    1. 👍
    2. 👎
    👤
    bobpursley
  2. on the interval [-90,90] sin^-1 is 1:1

    For cos^-1, the domain is [0,180]

    But you probably want radians instead.

    1. 👍
    2. 👎
  3. It showed up as wrong on my sheet

    1. 👍
    2. 👎
  4. can you see how unhelpful that response is? What did you enter, and why was it wrong?

    1. 👍
    2. 👎
  5. So basically, how would you restrict the sin/cos graph so that it becomes 1 to 1? you section off the graph via interval notations. So it would like half of a period but with its head and end cut off. (at the highest point and lowest point, so it passes the HLT - Horizontal Line Test)

    ... restrict the domain of cosine to the interval [-pi/2, pi/2].

    you can figure the rest out.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Create an addition word problem and a subtraction word problem using fractions. Show how to find the solution to each problem. Once you find the solutions to your problems, rewrite the solutions as either a terminating or

  2. calculus help me plz too hard show step

    charge Q coulombs at time t seconds is given by the differential equation RdQ/dt+Q/C=0, where c is the capacitance in farafd and R the resistance in ohms.solve the equation for Q given that Q=Qo where t=0 plz show step plz plz plz

  3. LIVING ENVIRONMENT

    the ability to grow in size is a characteristic of living organism .Although an icicle may grow in size over time,it is considered nonliving because there is 1)an incerase in matter ,but no increase in the number of icicle. 2)an

  4. Chemistry

    12. In a calorimeter, 10 g of ice absorbs heat with an enthalpy of fusion of 334 J/g. What is the heat absorbed? q = mCHf I am having a lot of trouble on this type of problem in chem. Help and an explanation would be greatly

  1. math

    A water balloon is shot into the air so that its height h, in metres, after t seconds is h = —4.9t^2 + 27t + 2.4 a)How high is the balloon after 1 s? b)For how long is the balloon more than 30 m high? c)What is the maximum

  2. Algebra

    Here is the problem: A two-digit number is eight times the sum of its digits.When the number is added to the number obtained by reversing the digits,the sum is 99. Find the original number. Please explain hot to solve it and it

  3. math

    Suppose your teacher tells you to write a word problem using the number 3. Which would be the best object to use in your problem? Explain. Then write and solve a word problem using that object. (tricycle, bike, wagon)

  4. math

    PLZ HELP THXS For this problem, write the numbers in standard form. 8.7 × 10 3 (the problem is a scientific notation problem) A. 87,000 B. 870,000 C. 8,700

  1. Math

    Suppose your teacher tells you to write a word problem using the number3.which would be the best object to use in your problem?explain.Then write and solve a word problem using that object. tricycle bike wagon.

  2. calculus

    Lim (1+(a/x))^(bx) x->infinity I'm having a lot of trouble with this limit.

  3. Mathematics

    Can you help make a word problem for 12 divided by 1/4 plz

  4. English

    I have a problem with 'diction' I kind of 'feel' the sentence, but I don't know what to write. Thanks a lot!! "Art is the antidote that can call us back from the edge of numbness, restoring the ability to feel for another." By

You can view more similar questions or ask a new question.