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
What is the value of (Negative 14 Superscript 0 Baseline) Superscript negative 2? Negative StartFraction 1 Over 196 EndFraction
Nookie1986 [14]

Answer:

1

Step-by-step explanation:

Assuming, we want to find the value of ((-14)^0)^{-2}

Recall that: any non-zero number exponent zero is 1.

Using this property, we simplify our expression to (1)^{-2} since (-14)^0=1

Now using the property of exponents: a^{-n}=\frac{1}{a^n}

This implies that:1^{-1}=\frac{1}{1^2}=\frac{1}{1}=1

The correct answer is 1

5 0
3 years ago
Read 2 more answers
What are three different ways to write 15,638 with only hundreds, tens, and ones?
saul85 [17]
Fifteen thousand six-hundred and thirty-eight
5 0
3 years ago
Type the integer that makes the following subtraction sentence true:<br><br> – 7 = -3
Shkiper50 [21]
4 because -7 plus 4 = 3

4 0
3 years ago
First to help gets marked brainliest!!
Lubov Fominskaja [6]

Answer:

x: -8, -4, 0, 4

y:  6,  4,  2,  0

Equation: y = 2 - 0.5x

7 0
2 years ago
If a =6, what is the value of 2a(3b + 5c)?
leva [86]

Answer:

<h2>36b + 60c</h2>

Step-by-step explanation:

Put a = 6 to the expression 2a(3b + 5c):

(2)(6)(3b + 5c) = 12(3b + 5c)               <em>use the distributive property</em>

= (12)(3b) + (12)(5c) = 36b + 60c

7 0
3 years ago
Other questions:
  • Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting
    14·1 answer
  • A hospital bill is estimated to be $462 errands up actually cost of the patient $525 what is the percentage of error in the bill
    8·1 answer
  • The product of a number m and 1.7 is 6.63.
    11·2 answers
  • The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 1
    7·1 answer
  • the surface area of a sphere is 804 .25 m2,to find the radius of the sphere to the nearest world number​
    6·2 answers
  • I can't get it can anyone help me I get most of it I just need number 1...
    13·2 answers
  • Brainliest HELP..
    15·1 answer
  • Find the lengths of a square having area 676cm2​
    13·2 answers
  • A rectangle prism has three dimension
    9·2 answers
  • $46.80 x 12?<br> im accually confused
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!