TRIG

There are two questions of my homework I'm having trouble with.. I think we are supposed to show how they are true. In other words, make one side look exactly like the other one by using the identities.

1. cosX/(1-sinX)=(1+sinX)/cosX

2. (secX+tanX)/(secX-tanX)=(1+2sinX+sin^(2)X)/cos^(2)X)

Please help, thanks

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. for the first, multiply the LS by (1+sinx)/(1+sinx)
    It will turn into the RS

    2.
    LS = (1/cosx + sinx/cosx)/(1/cosx - sinx/cosx)
    we have a common denominator
    and remember how to divide fractions ...

    = (1+sinx)/(1-sinx)

    RS = (1+sinx)(1+sinx)/(1 - sin^2 x)
    = (1+sinx)(1+sinx)/[(1+sinx)(1+sinx)]
    = (1+sinx)/(1-sinx)
    = LS

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. Thanks!

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. Educational Technology

    1. Which of the following choices is a strategy that could help with time management? A. Spending most of the day on leisure activities. B. Doing homework in every spare moment. C. Cutting back on sleep. D. Creating a list of

  2. Geometry

    Point M is the midpoint of line PQ. The coordinates of P and M are: P: 5, (-2) M: 11, (-10) Given this info, what are the coordinates of Q? I'm having trouble understanding what I'm supposed to do with this problem. Anyone willing

  3. Math

    Ivan finished 4/5 of his math homework problems and all 3 questions for his science homework before dinner . If he finished a total of 43 problems before dinner , what is the total number of math homework problems he was assigned?

  4. creative writing- please help

    Please help me- I signed up for a creative writing class thinking that I would do pretty well because I am not that bad of a writer but the questions that are asked are really hard to answer. The questions that were asked were

  1. math data management

    a multiple choice quiz has 10 questions. each question has five possible answers.carman is certain that she knows the correct answers for questions 1 and 4. if she guesses the other questions, determine the probability that she

  2. ELA

    which sentence is in the imperative voice 1 how much homework do you have 2 is it important to do homework 3 do your homework as soon as you get home 4 homework should be done thoroughly i think its the 3rd one am i right?

  3. Math

    A student taking an examination is required to answer exactly 10 out of 15 questions. I think i'm supposed to use combination right? Order does not matter? Because it can be any choice of the 10 questions? I am usually horrible

  4. calculus

    I am working on this problem and having some trouble. We're supposed to use partial fractions. The problem is: integral of dx / (x^6-1) . I got the values of A and D, but I am having trouble with the others. Help please!

  1. social studies

    My homework from the board says "Finish color illustration for Gilgamesh" but I don't know what that means.(If someone can answer me before *8:00 am I would be very grateful.) What am I supposed to do?

  2. Philosophy

    1. Watch out for metaphysics in searching for these answers: metaphysics depends on a magical intrepretation. 2. This link will get you started on these classical questions.

  3. Chemistry - Molecular orbital Config

    I'm having trouble with this problem on my homework, We are supposed to write the molecular orbital config for a molecule. Could someone walk me through the process of how to do this and I'll see if I can get the hang of it? What

  4. PreCalc

    There are a few problems on my homework im having trouble on. can you explain how to do these problems? thanks 1. x^2+10x+25-9y^2 2. x^2+2x-3 ------------- x^2+3x--2 3. 2xSQRT(x^2+5) - 2x^3/x^2+5

View more similar questions or ask a new question.