What expression is equivalent to 1-2 sin^2x?

I know the answer is 2cos^2x-1, but unsure how to solve it. Do I use the Pythagorean identity to start?

Thanks!

Answers

Answer 1

Answer:

1-2*sin^2 (x) = 2cos^2(x) -1

Step-by-step explanation:

1-2sin^2(x)

= 1-2(1-cos^2(x)) =2cos^2(x)-1; Pythagorean identity, sin^2(x)=1-cos^2(x)

=1-2+2cos^2(x)=2cos^2(x)-1; distribute

= -1+2cos^2(x)=2cos^2(x) -1; collect and rearrange terms

= 2cos^2(x)-1 = 2cos^2(x)-1


Related Questions

What is the area of this figure?

Answers

Answer:

35 cm

Step-by-step explanation:

Answer:

0.35 meters^2 or 35 cm^2

Step-by-step explanation:

we break up the shape and the problem into two parts.

we will begin by finding the area of the triangle first (or you could find the square's area first) and we know the area formula for a triangle is

Area (triangle) = (1/2) base x height

height = 0.04 meters or 4cm

base = 0.05 meters or 5 cm

therefore the area is:

(1/2) (5cm)(4cm) = 10 cm^2

now we find the area of the square which is very easy. it is simply base times the height (b x h)

Area (square) = 5cm x 5cm = 25cm^2

finally, we add the total area

Area (total) = Area (square) + Area (triangle) = 10 cm^2 + 25 cm^2

= 35 cm^2

The market value of Kara's home is $320,000. The assessment rate is 51.5%. The local property tax rate is $50.00 per $1,000 of assessed value. What is Kara's property tax?
$8,000, $8,240 , $7,646 , $8,864

Answers

The property tax of Kara's home will be $ 8,240. Then the correct option is B.

What is a tax?

A government-mandated input to tax collections placed on employees' wages and corporate earnings, or factored into the price of certain products, activities, and activities.

The market value of Kara's home is $320,000. The assessment rate is 51.5%. The local property tax rate is $50.00 per $1,000 of assessed value.

Then the property tax of Kara's home will be

→ $ 320,000 x 0.515 x (50 / 1000)

→ $ 8,240

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Installment Loan
Principal
$1500.00
Term Length
4 years
How much of the first
payment for the
installment loan
6% shown in the table will
go towards interest?
Interest Rate
Monthly Payment
$35.00

Answers

Answer:

32.90

Step-by-step explanation:

 Match each table with its corresponding function type.

Answers

The first table that starts with -1,2 is exponential

The second table that starts with -2,-7 is linear

The last table is quadratic

Suppose the government sets a price floor of $4.85 per bushel of wheat when the equilibrium price is $4.55 per bushel. This price floor will:

Answers

This price floor would lead to an excess in the supply of wheat.

What is the effect of the price floor?

A price floor is when the government sets the minimum price of a product. A price floor is binding if it is set above equilibrium price.

The price floor ($4.85) is set above equilibrium price ($4.55), quantity supplied would exceed quantity demanded and there would be a surplus.

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What is p (4,3) equal to

Answers

The mathematical expression 4,3 if considered a permutation is equal to twenty-four or 24.

What does the expression 4,3 refers to?

This is likely a permutation or an expression that shows how the items in a set can be arranged in different ways.

What is it equal to?

[tex]P (n,r) = \frac{n!}{(n - r)!}[/tex]

[tex]P = (4, 3) = \frac{4!}{(4 - 3)!} = \frac{4!}{1!} = \frac{4 X 3 X 2 X 1}{1} = 24[/tex]

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Can anyone solve this

Answers

Check the picture below.

so if we get the product for each diameter, it'd be what you see in the picture to the left, and the largest is of course the Sun and the smallest is Mercury.

we can simply get their diameters' ratio to see how much larger.

[tex]\cfrac{\stackrel{Sun}{1.392\times 10^6}}{\underset{Mercury}{4.878\times 10^3}}\implies \cfrac{1392\times 10^3}{4.878\times 10^3}\implies \cfrac{1392}{4.878}\times\cfrac{10^3}{10^3}\implies \cfrac{1392}{4.878}\times 1 \\\\\\ \cfrac{1392}{4.878} ~~ \approx ~~ 285.3629~~ \approx ~~ 2.853629 \times 10^2[/tex]

Gib Answer:

two dice are rolled what is the probability of rolling a 2 and then an odd number

Answers

Answer:

the probability is 1/4

Find the area of the rhombus.

Answers

Answer:

12 is the correct answer

Step-by-step explanation:

diameter is 12

¿how can I resolve this?
PQ: P(0, 0), Q(–2, 1) ​

Answers

Answer:

0+-2=-2

0+1=1

-2+1=-1

Step-by-step explanation:

Answer:

sqrt(5)

Step-by-step explanation:

Distance formula sqrt((x2-x1)^2+(y2-y1)^2)

sqrt((-2-0)^2+(1-0)^2)

sqrt((4)+1)

sqrt(5)

sketch the graph of each linear inequality
y>-2x+1

Answers

Answer:

Step-by-step explanation:

sketch the graph of each linear inequality

y>-2x+1

Answer:

y ≥ 2x+1

The graph is a solid line since the sign is greater than or equal(≥).

The shaded area is above since y is greater than.

Step-by-step explanation:

Parker's dirt bike cost him $8000 at time of purchase. Each year its
worth has depreciated by 11%. How much is the dirt bike worth
after 5 years after purchase?
a. $4467.25
b. $5298.13
c. $5526.87
d. $6215.36

Answers

Answer:

a. 4467.25

Step-by-step explanation:

(8000)*(0.89^5) =

^- Standard interest formula

Answer:

you find the depreciation yearly

and Subtract the answer yearly for the number of year given the answer is a

if x=2 and y =0 what is the value of x²-y(x-y)-1​

Answers

Answer:

3

Step-by-step explanation:

x = 2

y = 0

plug in values

[tex]2^2[/tex]- 0(2-0)-1

4- 0(2)-1

4-0-1

4-1

3

Amy and her friends have $12.50 to spend on lunch. They agree to share a
large fry and buy hamburgers with the rest of the money. They use the following
inequality to determine how many burgers, b, they can buy
0.890+1.82 12.50
Select all values of b that make the inequality true.

Answers

Good luck, I am not sure how to solve the next part of the question

What’s the answer?????

Answers

Answer: The first one : -2x^2 + 20x - 54

Step-by-step explanation:

y = -2(x-5)^2 - 4

  = -2(x^2 - 10x + 25) - 4

  = -2x^2 + 20x - 50 - 4

  = -2x^2 + 20x - 54

Find the value of m.
m + 20°
100°
A) 80°
B) 60°
C) 120°
D) 140

Answers

Answer: 80

Step-by-step explanation:

m + 20 = 100 [vertical angles are congruent]m = 80 [subtract 20 from both sides]

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\textsf{\bf{A}}\huge\text{ssuming ....}[/tex]

[tex]\mathsf{m + 20^\circ = 100^\circ}[/tex]

[tex]\huge\textbf{I}\huge\text{f so, then let's solve for your answer to your}\\\huge\text{given equation.... shall we?}[/tex]

[tex]\mathsf{m + 20^\circ = 100^\circ}[/tex]

[tex]\mathsf{m + 20 = 100}[/tex]

[tex]\huge\textbf{S}\huge\text{ubtract 20 to BOTH SIDES}[/tex]

[tex]\mathsf{m + 20 - 20 = 100 - 20}[/tex]

[tex]\huge\textbf{S}\huge\text{implify it!}[/tex]

[tex]\mathsf{m = 100 - 20}[/tex]

[tex]\mathsf{m = 80}[/tex]

[tex]\huge\textbf{T}\huge\text{herefore, your answer is: \boxed{\mathsf{m = 80^\circ}}}\huge\checkmark[/tex]

[tex]\huge\textbf{G}\huge\text{ood luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\textbf{A}\frak{mphitrite1040:)}[/tex]

Below is a plot of land divided into 4 sections for a vegetable garden.

Part A: What is the total area allotted for carrots and beans?

(PLEASE SHOW WORK)

Answers

Answer:

104

Step-by-step explanation:

did the test yourself(sorry for no proof)

What is the equation of the line that passes through the point (-4, 8) and has a slope of -1/2​

Answers

8=-1/2(-4)+b equals 6=b, so y=-1/2x+6

The number ▲ is a multiple of 4.
How do you know that a number
that is 20 greater (A+20) is not
a prime number?

Answers

Answer:

It is not a prime number.

Step-by-step explanation:

Any even number besides 2 cannot be a prime number. If it is a multiple of 4, it will always be even, meaning it absolutely cannot be a prime number.

(Pretty sure this is what was being asked, if not, let me know)

free 25 points and 1 math answer

please answer each

Angle 3 is equal to angle

Angle 2 is equal to angle

Angle 7 is equal to angle

Angle 6 is equal to angle

Answers

Answer:

Step-by-step explanation:

Angle 3 is equal to angle = angle 1

Angle 2 is equal to angle = angle 3

Angle 7 is equal to angle = angle 5

Angle 6 is equal to angle = angle 8

Answer: Angle 3 is equal to angle = angle 1Angle 2 is equal to angle = angle 3Angle 7 is equal to angle = angle 5Angle 6 is equal to angle = angle 8

Step-by-step explanation: hope this helps0^0


A newborn baby weighs 5 lb 4 oz. What is the weight in kg? Round to the nearest hundreth

Answers

Answer:

2.38 kg

Step-by-step explanation:

5 lbs and 4 oz = 5.25 lbs

5.25 lbs to kg = 2.38

The weight of the newborn would be 2.38 kg.

Used the concept of measurement unit that states,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

Given that,

A newborn baby weighs 5 lb 4 oz.

Since we know that,

1 oz = 0.0625 lb

Hence,

4 oz = 4 × 0.0625 lb

       = 0.25 lb

So the newborn baby weighs is,

5 lb + 0.25 lb

= 5.25 lb

Since, 1 lb = 0.454 kg

Hence,

5.25 lb = 5.25 × 0.454

            = 2.3835 kg

Round to the nearest hundredth,

5.25 lb = 2.38 kg

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A rectangle is 8 millimeters wide and 27 millimeters long. What is the area of this rectangle? 70 mm² 166 mm² 216 mm² 223 mm²

Answers

Answer:

216 mm^2.

Step-by-step explanation:

Area = width * length

= 8 * 27

=  216 mm^2.

Pls someone help ty it’s algebra

Answers

Answer:

I think it is letter b

Good luck

Step-by-step explanation:

Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.

Test H0 : μ1=μ2 vs Ha : μ1≠μ2 using the sample results x⎯⎯1=15.3, s1=11.6 with n1=100 and x⎯⎯2=18.4, s2=14.3 with n2=80.
(a) Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

Answers

The test statistics and the p-value from the research sampling will be 1.57 and 0.119.

What is test statistic?

It should be noted that a test statistic simply means a number that's used to describe how the observed value is far from the null hypothesis.

In this case, the test statistics is 1.57. The p value will be:

= 2 × 0.0593

= 0.119

Therefore, the test statistics and the p-value from the research sampling will be 1.57 and 0.119.

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would this be 192? if not can someone please explain how to do it?

Answers

Answer:

For anything you have to ask question, right? How can someone understand if you just show the figure

You are calculating how many seats there are at Wrigley Field in Chicago, Illinois. You count that there are 1,487 rows. Each row has 28 seats.

How many seats are there in the whole field?

Answers

In order to find the full amount of availbie seats we must multiple our rows and columns. This means to find our answer we must solve 1,487 x 28. This gives us the numbers 41,636.

THIS MEANS THAT 41,636 seats are avaliable in the Wrigley Field.

I hope this helps ! and good luck <3

Find the magnitude of the vector <3, 6>

Answers

[tex]\text{Magnitude} = \sqrt{3^2 +6^2}\\ \\~~~~~~~~~~~~~~~=\sqrt{9+36}\\\\~~~~~~~~~~~~~~~=\sqrt{45}\\\\~~~~~~~~~~~~~~~=\sqrt{5 \times 9}\\\\~~~~~~~~~~~~~~~=3\sqrt 5[/tex]


What is the solution to this equation? Round your answer to two decimal
places.
25x= 59
A. 1.18
B. 1.84
ОО O
C. 0.89
D. 1.26

Answers

Answer:

See attachment. Also, I got 2.36 as the answer with my calculator despite that not being on the multiple choice list

divide 2.36 by 2 and you get 1.18

can anyone help me find the area of these two pls ? ty

Answers

Answer:

7. 84

9. 64

Step-by-step explanation:

Area of a quadrilateral is b x h , so just multiply the sides with each other for both of them.

find the 37th term of 262,257,252

Answers

82

Step-by-step explanation:

general term through the patteren

an = -5n+267

substitute and calculate = a37 = 82

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