prove that cos² (45+A) + (45-A)=1​

Answers

Answer 1

Answer:

Cos²(45°—A) + cos²(45°+A)

= [2 cos²(45°—A) + 2 cos²(45°+A)] /2

= [{2 cos²(45°—A)—1} + {2 cos²(45°+A)—1} + 2] /2

= [cos2(45°—A)+cos2(45°+A)+2]/2

= [cos(90°—2A)+cos(90°+2A)+2]/2

= (sin2A—sin2A+2)/2

= 2/2

= 1


Related Questions

How do you show 72 × 139

(doing the work)

Answers

Answer:

10008

Step-by-step explanation:

Use the following coordinate plane to write the ordered pair for each point.


If you can PLZ help

Answers

Answer:

For A it is 0,5

For B it is 1,3

For C it is 4,3

IF CORRECT I WILL GIVE BRAINLIEST!!

Please help me do this problem!

Screenshot below!

Answers

Answer:

9

Step-by-step explanation:

Which is the correct answer?


Note: (if you give me a silly or absurd answer I will report you)​

Answers

Answer:

D. None are true.

Step-by-step explanation:

f(x)=-2x-1

g(x)=-1/2x+1/2

perpendicular( inverse ) slope = -1

-2*-1/2 = 1, so not perpendicular.

III is wrong.

So, it can't be C.

Since they are not perpendicular, if you place x in one, the other will be wrong, same with the other, so not A or B.

The correct answer is D.

Hope this helps plz hit the crown :D

cuanto es 1955×2876​

Answers

Answer:The answer is 5622580

Step-by-step explanation:

What is the value of x when y=6

Answers

Answer:

When x = 12, y = 4.

Step-by-step explanation:

If

y

x

we can write that

y

=

k

x

where k is a constant of proportionality.

Using the values given:

6

=

18

k

k

=

1

3

y

=

1

3

12

=

4

Can someone please answer please ​

Answers

Answer:

3(x)+2

Step-by-step explanation:

2(5)+6 = 16

3(5)+2 = 17

4(5)-5 = 15

5(5)-10 = 15

(c) Mr. Young suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 35% lower than $1879. What was the price the travel agent found? Show your work.

Answers

Answer: The travel services sector is made up of a complex web of relationships between a variety of suppliers, tourism products, destination marketing organizations, tour operators, and travel agents, among many others. Under the North American Industry Classification System (NAICS), travel services comprises businesses and functions that assist with planning and reserving components of the visitor experience (Government of Canada, 2014).

A 7% – 8% commission level is somewhat standard with host agencies working with self sufficient agencies. Independent travel agents earning 90% – 100% of the commission are usually high volume seasoned agents that require little to no support from the host agency.

(sorry if im wrong)

:(

i will give you brainliest and give you 50 point if you help me

Answers

Answer:

10:16

Step-by-step explanation:

If there are 16 total animals and 10 of them are racoons, then 6 are squirrels which makes them 10:6 ratio.

(BTW I LOVE UR BAKUGOU PFP)

Answer:

the answer will be 10:16

Step-by-step explanation:

Please help this is for a grade I don’t know the answer will give brainlest

Answers

Answer:

The answer is d

Step-by-step explanation:

Answer: d

Step-by-step explanation:

Rewrite

8

as

2

3

.

x

3

2

3

=

0

Since both terms are perfect cubes, factor using the difference of cubes formula,

a

3

b

3

=

(

a

b

)

(

a

2

+

a

b

+

b

2

)

where

a

=

x

and

b

=

2

.

(

x

2

)

(

x

2

+

x

2

+

2

2

)

=

0

Simplify.

Tap for more steps...

(

x

2

)

(

x

2

+

2

x

+

4

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

2

=

0

x

2

+

2

x

+

4

=

0

Set the first factor equal to

0

and solve.

Tap for more steps...

x

=

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

1

+

i

3

,

1

i

3

The final solution is all the values that make

(

x

2

)

(

x

2

+

2

x

+

4

)

=

0

true.

x

=

2

,

1

+

i

3

,

1

i

3Rewrite

8

as

2

3

.

x

3

2

3

=

0

Since both terms are perfect cubes, factor using the difference of cubes formula,

a

3

b

3

=

(

a

b

)

(

a

2

+

a

b

+

b

2

)

where

a

=

x

and

b

=

2

.

(

x

2

)

(

x

2

+

x

2

+

2

2

)

=

0

Simplify.

Tap for more steps...

(

x

2

)

(

x

2

+

2

x

+

4

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

2

=

0

x

2

+

2

x

+

4

=

0

Set the first factor equal to

0

and solve.

Tap for more steps...

x

=

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

1

+

i

3

,

1

i

3

The final solution is all the values that make

(

x

2

)

(

x

2

+

2

x

+

4

)

=

0

true.

x

=

2

,

1

+

i

3

,

1

i

3

find the multiplicative inverse of 7 in mod 9

Answers

Answer:

-1/7

Step-by-step explanation:

The inverse of 7 is simply the opposite

HELP ASAP! 100 POINTS + MARKED BRAINLIEST‼️‼️ WHATS THE ANSWER

Answers

Answer:

-4.834 / 73

Step-by-step explanation:

Two points: (2007, 84.134) and (2080, 79.300)

Use the slope formula.

m = y2-y1/x2-x1

m = 79.300 - 84.134 / 2080 - 2007

m = -4.834 / 73

The guy above me, give him credit


Mrs. Rogers sold 49 out of 78 crafts at the fair. What percent of her crafts did she sell? Please show work!

Answers

Answer:

62 32/39%

Step-by-step explanation:

[tex]\frac{49}{78}*\frac{100}{1}=\frac{4900}{78}=\frac{2450}{39}=62\frac{32}{39}%[/tex]%

The percentage of Mrs. Rogers crafts sold is 62.82%.

Given that, Mrs. Rogers sold 49 out of 78 crafts at the fair.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Percent of crafts sold =Number of crafts sold/Total number of crafts ×100

= 49/78 ×100

= 0.6282×100

= 62.82%

Therefor, the percentage of Mrs. Rogers crafts sold is 62.82%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

The graph represents the journey of a bus from the bus stop to different locations Bus Journey 4 Distance (miles) La 5 X Time (hours) Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey (4 points) Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points) Part C: Is the graph linear or non-linear? Explain your answer (2 points)​

Answers

Answer: if the bus takes 5 hours to go the distance then it will take the y,x distances to go the 5 hours.

Step-by-step explanation:

At a zoo in a butterfly enclosure, 5 drops of nectar is sufficient for 2 butterflies. How many butterflies could be fed with 59 drops of nectar?

Answers

Answer:

111 can i get brailyist for replying so fast.

Answer:

23

Step-by-step explanation:

[tex] \frac{2}{5} \times \frac{x}{59} [/tex]

the number of drops of nectar goes on the bottom, and the number of butterflies goes on the top

then you cross multiply to get 5x= 118

solve for × and you get 23.6

for this situation, 0.6 of a butterfly doesn't make sense, so we need to round down.

we round down because it's okay if there's extra nectar, but there can't be less than enough.

you can be 23 butterflies with 59 drops of nectar

what is the incline slope of the ramp?

Rise= 2 feet
run = 10 feet​

Answers

The in cline of the ramp is 7.2

An artist has completed 1/4 of paintings in 2 weeks. At what rate is she working?

Answers

Answer: the rate is (1/8) paintings per week

Step-by-step explanation:

We usually define the rate as the amount of work done in some unit of time.

In this case, we know that the artist does 1/4 of a painting in 2 weeks, then the rate can be written as:

(1/4)/2  paintings/week = (1/8) paintings/week.

This means that the rate is (1/8) paintings per week, this is the weekly rate at which she works.

It took Davina 45 minutes to clean her room. How many seconds did it take her

Answers

Answer:

2700

Step-by-step explanation:

i think

Graph the equation by plotting three points. If all three are correct, the line will appear. 2y = 5x + 11​

Answers

Answer: (-1,3) (-2, 0.5) (0,5.5)

Step-by-step explanation:

Can someone show me how to do this problem and I need help!!

Thank you!!

Answers

Answer:

[tex] \frac{6}{19 } [/tex]

Step-by-step explanation:

6 + 5 + 7 + 1 + 0 = 19

One year, the population of a city was 333,000. Several years later it was
293,040. Find the percent decrease.

Answers

Answer:12%

Step-by-step explanation:

(333000-293040)×100/333000

Olivia drinks 64 ounces of water every day. At breakfast, she drinks 16 ounces. What percentage of water does she drink at breakfast?

Answers

Answer:

25%

Step-by-step explanation:

16/64 = .25 x 100 = 25%

Evaluate. Write your answer as a fractionin simplest form. 2 1/6 - (-8/3) + (-4 7/9)=

Answers

Answer: 1/20

Step-by-step explanation:

Kevin works for a car dealership as a sales support person. He is paid $300 a week plus $5 for every car the dealership sells that week as an incentive to help with sales.

Write an explicit definition that defines Kevin's paycheck.

Let n = the number of cars

A
an=300+5n

B
an=300⋅5n

C
an=300n+5

D
an=300−5n

Answers

I say that the answer is A. Because 300 is what you get every month and the 5 depends on the car and how many cars are sold. So 5 is by the “n”. Also you add them all together to get your answer. Which is “An = 300 + 5n. Hope this helped. :)

6th grade hw help! Please and ty.

Answers

Answer:  I cant see the pic clearly

Step-by-step explanation:

Answer:

i can't see pic clearly

what is the average marks of 215​

Answers

Answer:

Average marks are 60.

❤️❤️❤️❤️

.......

The ratio of fifth graders to sixth graders is 4 to 5. If one of the grade totals is 160,
select the possible totals for the other grade.
200
160
40
32
128

Answers

Answer:

Hi how are you doing today Jasmine

Answer:

40 and 32 i think

Step-by-step explanation:

i did it and im pretty sure its 40 and 32

The value of a car depreciates every year ata constant rate, Gary bought a car for $25,000 in the year 2013. If the value of the car is expected to depreciate 15% annually, what can Gary expect for the value of his car in the year 2017?

Answers

Answer:

Step-by-step explanation:

15×4(which is the difference in the year)=60%(this is the depreciation percent)

The value of the car in 2017=40/100×25000=$10000

A random number generator is set to generate integer random numbers between 1 and 10 inclusive following a uniform distribution. What is the probability of the random number generator generating a 7

Answers

Answer:

1/10 or 10%.

Step-by-step explanation:

If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.

Find the unit prices to the nearest tenth of one cent 12 oz for $2.10

Answers

Answer:

Concept: Unit Price & Algebraic Representation

You have 12 oz You have a total price of 2.10 Hence you divide 2.10/12 Your result to the nearest tenth is 0.2 Rate positively and give brainlist
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