# Math (Pre-Calc)

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
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.
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

1. 1
1. By the way when is says the interval, it's [0, 2pi] The p's should be pi's

posted by Bryan
2. 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.

posted by Michael
3. 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.

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

posted by Bryan
5. 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.

posted by Michael

## Similar Questions

1. ### psychology

What could be some charateristics of non love, liking, infatuation, empty love, romatic love, compaionate love, fatuous love and consummate love? I am having a hard time trying to figure out some of the charateristics for each.
2. ### English III Love of Life By: Jack London

Love of Life by Jack London I'm really having problems, how to start the body of my essay in this story. Can you give me some hint, how to make the 1st step? thank you :)
3. ### english

What kind of love is being addressed in each poem? (love of self, love of family, love of country, love of significant other) love after love girls can we educate we dads? in trying times tonight i can write senerity
4. ### english - What is true love

i writing another essay but this be about love and i have to write expository essay. i have to write does it exist? or it only based on fantasy? i have to consider cultural and natural(biological) factors. i think true love do
5. ### Shakespeare, English

Please edit- suppose to show how love is out of balance in this play- A Midsummer Night's Dream “One of the hardest things in life is watching someone you love, love someone else” (Dale). A Midsummer Night’s Dream by William
6. ### Physics

A 2.9 kg body is at rest on a frictionless horizontal air track when a horizontal force F acting in the positive direction of an x axis along the track is applied to the body. A stroboscopic graph of the position of the body as it
7. ### English

Which of the following assertions about love is contradicted by the tale of Pyramus and Thisbe? A. Love cannot be forbidden. B. Love can always find a way. C. Love is always ill-fated. D. Love is like a flame that burns hot. I am
8. ### Math

I am doing a worksheet that says to solve all problems to get the answer to "which Arctic animals love math?" I did not get the riddle. Does anyone know the answer? I would love if someone got back to me on this one. Thanks,
9. ### English check

Which quote believes that all of us have the ability to love? A. "Love is a binding force between two things that compels them to come together..." B. "Yet we do have the capacity to love not only other humans, but animals as
10. ### 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
11. ### Romeo and Juliet (English Literature)

1. To what heavenly body does Romeo compare Juliet? Why is this so? 2. What does Juliet mean when she says to Romeo, "tis, but thy name that is my enemy?" 3. How is Romeo let to Juliet's home? 4. Is it difficult for Romeo to win

More Similar Questions