1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solmaris [256]
3 years ago
15

Find all solutions of the equation 2sin2x−cosx=1 in the interval [0,2π), what is x?

Mathematics
1 answer:
Brrunno [24]3 years ago
4 0
This is a little it hard... I am wondering if others have a better way to solve it.

============================= 

2sin2x−cosx=1 

4sinxcosx = 1 + cosx 

16sin^2xcos^2x = 1 + 2cosx + cos^2x 

16(1 - cos^2x)cos^2x = 1 + 2cosx + cos^2x 

16cos^2x - 16cos^4x = 1 + 2cosx + cos^2x 

16cos^4x - 15cos^2x + 2cosx + 1 = 0 

let cosx = Y 

16Y^4 - 15Y^2 + 2Y + 1 = 0 

(Y + 1)(16Y^3 - 16Y^2 + Y + 1) = 0 


there are four values for Y, -1, -0.2, 0.367, 0.836. 

Then you solve for Y. 

For example, Y = -1 means cosx = -1, x = π. 

<span>I will leave the rests to you. (Sorry, this seems to be an ugly way...)</span>
You might be interested in
I Need Help!!!!
vagabundo [1.1K]

Answer:

6^27

Step-by-step explanation:

To answer this, we are going to use one of the laws of indices

We have this as;

(a^b)^c = a^(b * c) = a^bc

we are going to apply same here

(6^-3)^-9 = 6^(-3 * -9) = 6^27

8 0
2 years ago
At the football game they sold $4 pizzas and $2 sodas, which made the school $260. The number of sodas sold was 5 more than thre
Firlakuza [10]
25 Pizzas and 80 Sodas
3 0
3 years ago
A company makes 140 bags.
alexandr402 [8]
38 of the bags have zips but no buttons
3 0
3 years ago
There are 3 meters from A to B, 22 meters from B to C, 5 meters from C to D, and 7 meters from D to E. What is the distance from
notka56 [123]
17m

Because horizontal distance is 8m, vertical distance is 15m
So distance between A and Enid square root of 8^2+15^2
8 0
3 years ago
What is the perpendicular slope intercept form?​
In-s [12.5K]

Answer:

y = -1/2x + 2.5

Step-by-step explanation:

- slope of a perpendicular line is the negative reciprocal of the original slope (2 in this case) so y = -1/2 x + c

- to find c we substitute the values from the given point into the equation

(0) = -1/2*(5) + c

- rearrange and calculate and you'll get c = 5/2 or 2.5

- replace the value of c and now you've got y = -1/2x + 2.5

6 0
3 years ago
Other questions:
  • List all of the quadrilaterals with four right angles.
    8·1 answer
  • Determine the values of h, k, a, and b for the ellipse shown. Use the standard form of the equation. (h, k) = ( , ) a = b =
    7·2 answers
  • Solve by quadratic formula: (on your resource page)
    7·1 answer
  • Graph f(x) = x2 + 2x - 3, label the function’s x-intercepts, y-intercept and vertex with their coordinates. Also draw in and lab
    14·1 answer
  • This is for my buddy D
    12·2 answers
  • How many transformations are found in each function f(x)=-2(x+3)^2-4
    15·1 answer
  • Omg this is hard plz help
    5·1 answer
  • Please hurry!!!!!!!!!!!!!!!!!!
    5·2 answers
  • What is an equation of the line that passes through the points (5,5) and (5, -8)?
    11·1 answer
  • stanley bought 108 feet of fencing to put around his backyard. The Backyard is a square. Write a equation to find the dimensions
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!