Math (Pre-Calc)

posted by .

If any body could help me figure out these problems. I would love to know how to do it, and not just get an answer, however if you don't have the time to explain it to me, then the answer will suffice.

6. (1 pt) Solve the following equation in the interval [0, 2 p
Note: Give the answer as a multiple of p. Do not use decimal
numbers. The answer should be a fraction or an integer. Note
that p is already included in the answer so you just have to enter
the appropriate multiple. E.g. if the answer is p/2 you should
enter 1/2. If there is more than one answer enter them separated
by commas.
2(cos(t))2−cos(t)−1 = 0
t =________ pi
7. (1 pt) Solve the given equation in the interval [0,2 p].
Note: The answer must be written as a multiple of p. Give exact
answers. Do not use decimal numbers. The answer must
an integer or a fraction. Note that p is already provided with the
answer so you just have to find the appropriate multiple. E.g.
the answer is p
2 you should enter 1/2. If there is more than one
answer write them separated by commas.
2(sin x)2−5cos x+1 = 0
x=__________ pi

  • Math (Pre-Calc) -

    By the way when is says the interval, it's [0, 2pi] The p's should be pi's

  • Math (Pre-Calc) -

    For the first, factor the equation as you would if cos(t) were x.

    For the second, recall that the #1 Identity (most important) is sin^2(x) + cos^2(x) = 1. Solve the identify for sin^2(x) and plug that into your equation so that it contains only cosine. Then, factor the equation as you would if cos(x) were simply x.

    Try that, and if you have any problems, let us know.

  • Math (Pre-Calc) -

    So for the first the answers would be pi/3, pi, 5pi/3?

    I tried it for the second problem and I couldn't make it work.

  • Math (Pre-Calc) -

    never mind...I got the first problem figured out. The second is still stumping me however.

  • Math (Pre-Calc) -

    Start by solving the #1 Identity: sin^2(x) + cos^2(x) = 1 for sin^2(x)...

    sin^2(x) = 1 - cos^2(x)

    Our equation is 2(sinx)^2 − 5cos(x) + 1 = 0

    (sinx)^2 is the same as sin^2(x), so replace it with 1 - cos^2(x)...

    2(1 - cos^2(x)) - 5cos(x) + 1 = 0

    Distribute in the 2 and simplify. Then, factor.

Respond to this Question

First Name

School Subject

Your Answer

Similar Questions

  1. Math

    Can somebody help me out here. I want to know why I am good with math problems but I don't get word problems until it is made out of a equation. The reason is that you have learned math as procedures and facts...math as a form of thinking, …
  2. conjectures

    Evaluate the following sums: 1 1+8 1+8+27 1+8+27+64 Add two more line to the list, and make a conjecture about the sums you obtained. this is a pattern. if you look closely than you'll see each number is a product of another number …
  3. Easy (yet confusing) Algebra

    These problems are pretty easy, but confusing (as stated in the subject line). |2x+5|-x=10 |3x+4|-2x=11 I know there are supposed to be two answers for each problem, for the first problem I got 5 and for the second problem I got 7. …
  4. psychology

    What could be some charateristics of non love, liking, infatuation, empty love, romatic love, compaionate love, fatuous love and consummate love?
  5. Math

    I am trying to figure how to solve this but I am totally confused?
  6. Pre Calc

    Find the work done by a force F of 30 pounds acting in the direction (2,3) in moving an object 3 feet from (0,0) to the point in the first quadrant along the line y = (1/2)x. The answer is 85.38 foot-pounds. I just need to figure out …
  7. Pre-Calc/Trig

    I have looked this up, but still cant figure out what it is.. What is the projectile motion function?
  8. Math - Two-Step Inequalities - Please Help

    I need help with this one, please. Which of the following is in the solution set of the inequality –3 > –3t + 6?
  9. math practice help

    add or subtract (2x^2+6x+1)+(-7x^2+2x-3) 5x^2-4x-2 -5x^2+8x-2 5x^2-8x+2 -9x^2-8x+2 (3x^2-7x-4)-(6x^2-6x+1) -3x^2-x-5 -3x^2-13x+5 9x^2-x+5 3x^2-13x-5 These are just practice problems. could someone help me figure out how to solve them …
  10. math

    Please I just cant figure out how to get the discount, thank you I have a loan made april 5th, face value 8500 length 90 days, simple interest 8%, discount May 3. what is the discount?

More Similar Questions