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
forsale [732]
3 years ago
7

Find all solutions in the region [0,2pi) for the equation cos^2(2x)-sin^2(2x)=0

Mathematics
1 answer:
Lynna [10]3 years ago
4 0
\cos^{2}(2x)-\sin^{2}(2x)=0
\rightarrow \sin^{2}(2x)=\cos^{2}(2x)
\rightarrow \frac{\sin^{2}(2x)}{\cos^{2}(2x)}=1
\rightarrow \tan^{2}(2x)=1
\rightarrow \tan(2x)=\pm 1

2x can range anywhere in [0, 4\pi)
So:
\rightarrow 2x=\frac{\pi}{4}, \frac{3\pi}{4}, \frac{5\pi}{4}, \frac{7\pi}{4}, \frac{9\pi}{4}, \frac{11\pi}{4}, \frac{13\pi}{4}, \frac{15\pi}{4}
\rightarrow x=\frac{\pi}{8}, \frac{3\pi}{8}, \frac{5\pi}{8}, \frac{7\pi}{8}, \frac{9\pi}{8}, \frac{11\pi}{8}, \frac{13\pi}{8}, \frac{15\pi}{8}
You might be interested in
Please answer it now in two minutes
Gemiola [76]

Answer:

8.4 in

Step-by-step explanation:

Solution:-

- We consider the large right angle triangle namely, " XVW "

- We will recall all the trigonometric ratios that are applicable to all right angled triangles.

- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:

            Hypotenuse ( H ): Side opposite to 90 degrees angle

            Base (B): The side adjacent to the available angle ( θ )

            Perpendicular (P): The side opposite to the available angle ( θ )

- We will go ahead and mark our respective sides as follows:

            Angle ( θ ) : 34°

            Hypotenuse ( H ) : XW = 15 in

            Base ( B ) : VW

            Perpendicular ( P ) : VX

- Now recall all the trigonometric ratios studied:

           sin ( θ ) = P / H = VX / XW

           cos ( θ ) = B / H = VW / XW

           tan ( θ ) = P / B = VX / VW

- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:

                             sin ( θ ) = P / H = VX / XW

                             sin ( 34° ) = VX / 15

                             VX = 15*sin ( 34° )

                             VX = 8.387 .. ( 8.4 ) in

4 0
3 years ago
Can you help me with this
elena-14-01-66 [18.8K]
Lets try
centimeter is about 1/2 of a inch

if 28 square cm, the book coould be about 4m by 7cm (aoub the size of a recipt)

if 28 square in the book could be about 4in by 7in (regular size)

I would guess 28 square INCHES (cm is too smal)
4 0
3 years ago
Read 2 more answers
Please include an explanation !!
erma4kov [3.2K]

Answer:

k just doing this for points  

Step-by-step explanation:

6 0
3 years ago
Which function is graphed?
Lapatulllka [165]

Answer:

I think that a Cube Root Function

Step-by-step explanation:

3 0
3 years ago
A manufacturer is running an experiment using the standard (control) infant formula, and two new formulas, A and B. The goal is
bulgar [2K]

Answer:

A.

H0: the mean IGA score is the same for all three formulas.


Ha: the mean IGA score is not the same for all three formulas.

The Group of answer choices are as below:

A.

H0: the mean IGA score is the same for all three formulas.


Ha: the mean IGA score is not the same for all three formulas.

B.

H0: the mean IGA score is the same for all three formulas.


Ha: the mean IGA score is higher for at least one of the two treatment groups than the control group

C.

H0: the mean IGA score is the same for all three formulas.


Ha: the mean IGA score is higher for both treatment groups A and B than the control group.

D. No answer text provided.

Explanation:

Given that a manufacturer is running an experiment using the standard (control) infant formula, and two new formulas, A and B to boost the immune system in infants.

The variable that is measured is Total IGA (in mg per dl) score.

We have to state the hypotheses for one-way ANOVA F test to test if the mean IGA score is the same for all three formulas.

In null hypothesis H0, the mean of all groups are equal and in alternative hypothesis, Ha, the mean of the groups are not the same.

Therefore, the hypothesis tested by the one-way ANOVA F test are:

H0: the mean IGA score is the same for all three formulas.

Ha: the mean IGA score is not the same for all three formulas.

5 0
3 years ago
Other questions:
  • 25 Points!!
    5·1 answer
  • The difference of the squares of twenty and thirteen
    15·1 answer
  • Add (7x^2-2x) + (4x-3)
    6·1 answer
  • Find the 11th term of the geometric sequence 10, 20, 40, ...10,20,40,
    15·1 answer
  • Looking for code for the great escape
    14·1 answer
  • Michael and Bill are 238 miles apart, traveling towards each other. If Bill travels 20 mph and Michael travels 14 mph how long u
    10·1 answer
  • Simplify the following expression as much as possible.
    9·1 answer
  • Math people help me plssss
    5·2 answers
  • Rewrite the equation by completing the square.<br> x^2−2x−35=0
    13·1 answer
  • No question, just whoever needs free answers.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!