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
Leona [35]
3 years ago
9

Show that each statement is true: Cos^4X-sin^4X=2cos^2X-1

Mathematics
1 answer:
Ivan3 years ago
4 0
cox^4x-sin^4x=2cos^2x-1\\\\
(cosx^2-sin^2x)(cosx^2x+sin^2x)=2cos^2x-1\\\\
cosx^2-sin^2x*1=2cos^2x-1\ \ \ | subtract\ 2cos^2x\\\\
-cosx^2-sin^2x=-1\ \ \ | multiply\ by\ -1\\\\
cosx^2+sin^2x=1\\\\
1=1
You might be interested in
Plase help me it would mean a lot
IRINA_888 [86]

Answer:

Drink A

Step-by-step explanation:

Let's find the amount of sugar in each drink in every 35 ounces. (since 35 is the lowest common multiple of 5 and 7)

<u>Drink</u><u> </u><u>A</u>

5 fluid ounces --- 11g of sugar

35 fluid ounces --- 11 ×7= 77g of sugar

<u>Drink</u><u> </u><u>B</u>

7 fluid ounces --- 10g of sugar

35 fluid ounces --- 10 ×5= 50g of sugar

Since drink A has more sugar in every 35 ounces than drink B, drink A is sweeter.

6 0
2 years ago
The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to
Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

x^2=8y\implies y=\dfrac{x^2}8

y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0

\implies x=0,x=8\implies y=0,y=8

The area of a semicircle with diameter d is \dfrac{\pi d^2}8. The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of x between 0 and 8. Over this interval, y^2=8x\implies y=\sqrt{8x} and \sqrt{8x}>\dfrac{x^2}8, so the volume of this solid is given by the integral

\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}

6 0
3 years ago
PLEASE HELP IF YOU ARE NOT SURE DON'T Answer PLEASE SHOW WORK AND STEPS
Vaselesa [24]
X is less than 4.
Just simplify each side and solve for the variable. 
First add 9 to both sides.
24 is greater than 6x
Then divide 6
4 is less than 6
5 0
3 years ago
What is the equation of the line
kupik [55]

Answer:

y=-x+3.

Step-by-step explanation:

The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.

8 0
2 years ago
Quiz! Help!
Evgen [1.6K]

Answer:

$10.50/1.25 = $10.20

Step-by-step explanation:

hope this helps

5 0
3 years ago
Other questions:
  • Chad drove 168 miles in 3 hours. How many miles per hour did chad drive? Chad will drive 672 more miles. He continues to drive a
    13·1 answer
  • Explain how you can rename 5400 as hundreds.
    10·1 answer
  • Can someone please help me with this sorry to ask again
    10·1 answer
  • identify the set of numbers that best describes each situation. explain your choice. the change in the value of an account when
    5·1 answer
  • Miguel wants to buy a new stereo that costs $320. He has $40 in March, $80 in April, and $120 in May. If this pattern continues,
    7·1 answer
  • I need help with 9 and 10
    14·1 answer
  • Find the perimeter of the shaded region below.
    9·1 answer
  • 68 divided by 0.4. Show work please.
    5·1 answer
  • Which number has an absolute value
    8·2 answers
  • Hello,how do I calculate the the volume of this compound shape?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!