if cos θ - sin θ = √2 sin θ, then prove that cos θ + sin θ = √2 cos θ.

Answers

Answer 1

Step-by-step explanation:

cos θ - sin θ = √2 sin θ

cos θ + sin θ = √2 sin θ + 2sin θ

cos θ + sin θ = √2(sin θ + √2sin θ)

cos θ + sin θ = √2 cos θ. (Proven)


Related Questions

HELP ME 50 POINTS RN

Answers

Answer:

A

Step-by-step explanation:

Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds

(+8) + (+6) + (+2) =​

Answers

I got 16 for the answer

Answer:

0

Step-by-step explanation:

Multiply  − 1  by  − 6 . − 8 +6 + 2

Add  − 8  and  6 . − 2 + 2

Add  − 2  and  2 .

0

what is 1+1 first person gets brainlst if u get wrong no brainlst

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Which number is a solution of the inequality? 8

Answers

Answer:

i need more info or i cannot help

Answer: -1

Step-by-step explanation:Solve: 8(7−x)<64.Divide both sides by 8.7−x<6487−x<8Subtract 7 from both sides.−x<8−7−x<1Multiply both sides by −1. This will reverse the inequality.x>−1

Explain why 186,426 Is diviable by both 3 and 9

Answers

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A number is divisible by 9 if the sum of its digits is divisible by 9.

Look :

[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{9} = \frac{27}{9} = 3 \\ [/tex]

Thus 186,426 is divisible by 9 .

_________________________________

Also a number is divisible by 3 if the sum of its digits is divisible by 3.

Look :

[tex] \frac{1 + 8 + 6 + 4 + 2 + 6}{3} = \frac{27}{3} = 9 \\ [/tex]

Thus 186,426 is divisible by 3 .

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help please if you know the answer

Answers

Answer:D

Step-by-step explanation:

The library is to be given 5 books as a gift. The books will be selected from a list of 23 titles. If each book selected must have a different​ title, how many possible selections are​ there?

Answers

Answer:

Concept: Statistics

They will receive 5 booksThere are 23 titles There must be a different title each time.Hence there are 23 total selections

Answer:

u will try urself ......okay ...

...

The Casey family uses up a 1/2 gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

1/6 Gallons a day or .166


Answer:

1/6

Step-by-step explanation:

1/2 divided by 3

Help!! Please and thank you

Answers

Answer:

       110.9 cm³

Step-by-step explanation:

[tex]V=\frac13\cdot A_b\cdot H[/tex]

[tex]A_b[/tex]  - Base Area

H - Height of the pyramid

Base is regular triangle:  [tex]A_b=\dfrac{8^2\sqrt3}4[/tex]

The volume:

                    [tex]V=\dfrac13\times \dfrac{8^2\sqrt3}4\times 12=64\sqrt3\approx110.9[/tex]

convert to logarithmic form. PLEASE help!!!! thank you!!! *will give brainliest*

Answers

Answer:

( B ) lng = 5

Step-by-step explanation:

Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.

Plan A: Raise the price by $0.10 each week until the price reaches $12.00.

Plan B: Raise the price by 10 percent each week until the price reaches $12.00.

Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.

Plan D: Raise the price by $0.25 each week until the price reaches $12.00.

Which plan will result in the price of the feed reaching $12.00 fastest?
-plan A
-plan B
-plan C
-plan D

Answers

Answer: B is the fastest way

Step-by-step explanation: How to solve this is a bit hard

8*1.1^n =12, so : ln(8) +n*ln(1.1) = ln(12), then

n = (ln(12) - ln(8))/ln(1.1) (≈ means around)4.3 weeks.

Answer: ANSWER IS [B]

Step-by-step explanation:

HELLLPPPP PLZ! Thank you! (5 screenshots included)

Answers

Answer:

1. C

2. B

3. None of the answers are correct, the answer is y= 3x-1.

4. A

5. C

Hopefully these helped!

9+(-1)=8 as a subtraction problem

Answers

Answer:

9 - 1 = 8

Step-by-step explanation:

We can simplify the equation by changing 9 +(-1) to 9 - 1, therefore making it a subtraction problem.

Solve the inequality
3n + 2 > 17

Answers

Answer:

n > 5

Step-by-step explanation:

Answer:

3n + 2 > 17

Step-by-step explanation:

3n + 2 > 17

-2 -2

3n > 15

÷3 ÷3

n > 5

Find
the
reciprocal
0f
0.65 to three
Significant
figurs​

Answers

Answer:

100/ 56

Step-by-step explanation:

100/65 because 0.65 is a decimal number

hope it helps!

Answer:

100/65 because 0.65 is in decimal

Evaluate 5.5r8.35s when r12 and s4.

Answers

Answer:

32.6

Step-by-step explanation:

when you plug in for s and r you will get 66-33.4 since 5.5 multiped by 12 is 66 and 8.35 multiplied by 4 is 33.4 .

then you subtract them and that's how you'll get your answer

Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition? (3 points)

Group of answer choices

A. 2 + x + 3y

B. (2 + x) + 3y

C. 2x + (3 + y)

D. x + (2 + 3y)

Answers

I think the answer is C

Mateo’s aunt bought a share of Netflix stock many years ago.



The value of the stock increased by `80\%`.



Its value is now `\$270`.



What was the value of the Netflix stock when Mateo’s aunt bought it?

Answers

Answer:

150

Step-by-step explanation:

80+100=180

270/180=1.5

15*100=150

Answer:

150

Step-by-step explanation:

a carnival booth duck game offer cash prizes. the booth at 75 plastic ducks floating around in a wading pool. 4 ducks have a green stars on the underside, and you win $10 for selecting a duck with a green star. it costs $1 to select a duck. is this a fair game? ​

Answers

Answer:

No, it is not fair

Step-by-step explanation:

Here, we want to check if this is a fair game

To win a sum, a duck with a green star on the underside must be selected

The number of ducks with this is 4 out of 75

The probability of selecting one is 4/75

The expected value of selecting is ;

4/75 * 10 = 0.5333

The cost of selecting a duck is $1

The probability that a duck that wins will not be selected is 71/75 which at a price of $1 is 0.9467

Since the price to lose and the amount to win is not the same, then the game is not fair

5.
16 yd)
14 yd
6 yd

Answers

are you looking for the perimeter or area or what

the perimeter of the figure.
15 ft
10 ft
Drawing not to scale
A.25ft
B.60ft
C.50ft
D.150ft

Answers

Answer:

C. 50ft

Step-by-step explanation:

Perimeter is the outside and in perimeter you add

The length is 15ft

The width is 10ft

There are 4 sides so you want to add the length and width 2 times

L = 15 + 15 = 30

W = 10 + 10 = 20

Then add it all together

30 + 20 = 50

Hope this helps dude

19,212 x 10*2 =
92.3
1932
Help please

Answers

Please make sure your question is formatted correctly and ill answer it for you.

find x in the given triangle ​

Answers

X = 19
Because it’s an isosceles triangle, those two sides have to equal to each other so
2x+ 7 = 45
Subtract 7 from both sides
2x = 38
Divide by 2
X = 19
The Awnser is 19 I think

I got 15, but apparently it isn’t the right answer. Help please!

Answers

the answer would be 20
if you subtract 32 - 12 you get 20 and add 6 + 11 + 3 = 20

Please guys help me. I am suck. I will give you the brainliest.❤❤​

Answers

Answer:

           Seventy two guests

Step-by-step explanation:

72 = 72×1

144 = 72×2

288 = 144×2 = 72×4

So each of 72 plates would have one cupcake, two apples and four chocolate bars.

{72 is the highest common factor for numbers 72, 144 snd 288}

what is the solution for X in the equation 4x - 3 + 5 = 2x + 7 - 8x

A. X = 2

B. X = -2

C. X = 1/2

D. X = -1/2​

Answers

Answer:

C. X = 1/2

Step-by-step explanation:

4x - 3 + 5 = 2x + 7 - 8x

      4x +2 = - 6x + 7

    4x + 6x = 7 - 2

           10x = 5

               x = 1/2

Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes

Answers

Answer:

34

Step-by-step explanation:

Subtract and divide

The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

With company x, it cost 35 cents to connect and then 5 cents for each minute.

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Now,

Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.

Hence, The cost for n minutes with company x is,

⇒ 35 + 5n

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Hence, The cost for n minutes with company y is,

⇒ 15 + 4n

Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)

                     = 35 + 5n - 15 - 4n

                     = (20 + n) cents

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5


What is the value of 3-(-2)
A.-5
B.-1
C.1
D.5

Answers

Answer:

5

Step-by-step explanation:

3-(-2)=5

Two negatives are a positive. So 3-(-2)=3+2. And 3+2 is 5.

Answer:

0

Step-by-step explanation:

-5 + -1 = -6

5 + 1 = 6

-6- 6 = 0

As part of your retirement, you wish to generate $2,000 monthly payments for a 15-year period. The annual interest rate is 5%. What minimum amount is necessary to fund these payments?

Answers

Answer:

$962.0

Step-by-step explanation:

The formula for amount is ;

[tex]A=P(1+\frac{r}n} )^{nt}[/tex]

where

A= amount at the end of the period= $2000

P=minimum amount necessary to fund the payments

r= annual interest rate = 5% = 0.05

n= number of compounding per year , 1

t= time period = 15 years

Applying the values to the formula as;

[tex]2000=P(1+\frac{0.05}{1} )^{1*15} \\\\\\2000=P(1.05)^{15} \\\\\\2000/2.079=P\\\\\\962.0=P[/tex]

1 A high school talent show lasted a total of t minutes. There were 2 intermissions that were each the length of 8 the talent show. Which function can be used to find the number of minutes the talent show lasted, not including intermissions?​

Answers

Answer:

I think f(t)=1/4t

Step-by-step explanation:

Because of you multiply 1/8 times 2, it gives you 1/4. Not 100% sure tho

If total time is t and There were 2 intermissions each the length of 1/ 8  of the talent show then function to find the number of minutes the talent show lasted, not including intermissions  is f(t)= 3t/4 minutes .

What is a function ?

function is a relation from a  set  to another  set provided that each element of first set is related to a unique element of another set .

Here given that total time is t  minutes

And time of intermission is t/8 minutes

And there are total 2 intermissions

Hence function to find the number of minutes the talent show lasted, not including intermissions can be defined as

f(t)= total time - 2(time of intermission)

[tex]f(t) = t- 2\times \frac{t}{8}\\\\f(t)=t-\fract1}{4}\\\\f(t)=\frac{3t}{4}[/tex]

If total time is t and There were 2 intermissions each the length of 1/ 8  of the talent show then function to find the number of minutes the talent show lasted, not including intermissions  is f(t)= 3t/4 minutes .

To learn more about functions visit : https://brainly.com/question/25638609

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