Mathematics College

Which of the following expressions does sin(x + y) - sin(x - y) simplify to?
O2(sin x)(sin y)
O2(sin x)(cos y)
O2(cos x)(cos y)
O 2(cos x) (sin y)

Answers

Answer 1

The answer choice which sin(x + y) - sin(x - y) simplifies to is; 2(cos x)(sin y).

Which of the following expressions does sin(x + y) - sin(x - y) simplify to?

It follows from the task content that the expression given in the task content can be simplified by trigonometric identities as follows;

sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy -cosxsiny)

= 2cosxsiny.

Read more on trigonometric identities;

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Related Questions

I need help answering this please

Answers

Answer:

DF = 20.4

Step-by-step explanation:

The figure given is a kite.

A kite has two set of opposite sides that are congruent. And the diagonals bisect each other. Thus,

∆DEH is congruent to ∆FEH, therefore, DH = HF

Use pythagorean theorem to find DH:

DH² = DE² - EH²

DH² = 15² - 11²

DH² = 104

DH = √104

DH = 10.2 (nearest tenth)

DF = 2(DH)

DF = 2(10.2)

DF = 20.4

Solve the inequality 5 - 4x > -x+8​

Answers

The answer is,

[tex]x < - 1[/tex]

What is the percent of increase from 25 to 26?

Answers

Answer:

4 percent

Step-by-step explanation:

because the new value is greater than the old value

The Answer is  4 percent

(–8x + 7y) + 9y + (–8x)

Answers

The answer is -16x+16y
The answer is -16x + 16y

Find the value of the variable. A
610
790

Answers

Answer: Allie made a 240- mile trip in just 4 hours.

Step-by-step explanation:

Calculate the monthly share of annual expenses and find the total monthly expenses.

Annual Expenses: $3,494.04

Living: $475.75

Fixed: $679.65

Monthly share of Annual:

Total Monthly Expenses:

Answers

Answer:

918,14

Step-by-step explanation:

3,494.04

679.65

= 918,14

4 - 2/8 =
what is 4 minus a fraction of 2/8 equal to?

Answers

Answer:

= 15/4

Step-by-step explanation:

4=32/8 so 32/8-2/8=30/8. 30/8 -> 15/4 or 3.75

NEED AN ANSWER FAST

What is the equation for the line of reflection?
A.x=6
B.y=6
C.y=x
D.y=2

Answers

Answer:

B:y6 yan ang. answer wag puro brainy

Six more than the quotient of a number squared and eleven

Answers

Answer:

Step-by-step explanation:

[tex]\frac{n^2}{11}+6[/tex]

find the missing angles for #4

Answers

1= 88°

2= 42°

3= 113°

hope that helps^^

A new tire had a tread depth of
5
8 in. After driving one year the tire had
17
32 in. of tread remaining. What percent of the tread was​ worn?

Answers

Answer:

15%

Step-by-step explanation:

Julie has $80 to spend on clothes. If she buys a pair of jeans for $24.75, how many shirts can she buy for $12.50?

Answers

Answer:

4

Step-by-step explanation:

$80.00 - $24.75 = $55.25

$55.25 ÷ $12.50 = 4 Shirts!

simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a STEP explanation plss​

Answers

Answer:

-6 a b + b + a

Step-by-step explanation:

Simplify the following:

-(a - b + a b) - a b - 4 a b + 2 b - 2 b + 3 a - a

Hint: | Group like terms in 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a.

Grouping like terms, 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a = -(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b):

-(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b)

Hint: | Combine like terms in -a b - 4 a b.

a b (-1) + a b (-4) = -5 a b:

-(a b - b + a) + -5 a b + (3 a - a) + (2 b - 2 b)

Hint: | Combine like terms in 3 a - a.

3 a - a = 2 a:

-(a b - b + a) - 5 a b + 2 a + (2 b - 2 b)

Hint: | Look for the difference of two identical terms.

2 b - 2 b = 0:

-(a b - b + a) - 5 a b + 2 a

Hint: | Distribute -1 over a b - b + a.

-(a b - b + a) = -a b + b - a:

-a b + b - a - 5 a b + 2 a

Hint: | Group like terms in -a b - 5 a b + b + 2 a - a.

Grouping like terms, -a b - 5 a b + b + 2 a - a = (-a b - 5 a b) + b + (-a + 2 a):

(-a b - 5 a b) + b + (-a + 2 a)

Hint: | Combine like terms in -a b - 5 a b.

a b (-1) + a b (-5) = -6 a b:

-6 a b + b + (2 a - a)

Hint: | Combine like terms in 2 a - a.

2 a - a = a:

Answer: -6 a b + b + a

Can you guys please help!

Answers

Answer:

5 for the first and 4x for the second one also plz give heart

Step-by-step explanation:

i just know

9= 3 3_4- 2 7_8- b
B?

Answers

Answer:

Step-by-step explanation:

9 - 3¾ - 2⅞ = 3⅜

He gave his grandmother 3⅜ pounds of apples.

Please help I’m begging someone p,ease help I can’t do this anymore help

Answers

Answer:

-5.99

-3

-6

-5.9

-1

-5.999

-5

2

Step-by-step explanation:

All these numbers are greater (or equal to) -6 because they are closer to 0

write an expression to express y in terms of x use your equation to complete the table
PLS HELPPPP QUICKLYYYY

Answers

Answer:

The answer is 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x - 5 = y

6 - 5 = 1

Hope that helps!

It takes 213 yards of denim to make one pair of jeans. How many yards would it take to make 5 pairs of jeans?

Answers

Answer:

1,065

Step-by-step explanation:

Multiply 213 by 5 to get your final answer.

please help me asap!

Answers

Answer:

ST=18

Step-by-step explanation:

Solve for z.
-30 = 5(x+1)

Answers

-30= 5 (x+1 )

-5 from 5= 0
-5 from -30= -35

-35= (x+1)

1/-35= -35

solve help


3+ x + 4 =
​

Answers

Answer:

7+x

Step-by-step explanation:

Add 3 and 4

3+4= 7

You can't add x since it's a variable so you just leave it as it is.

Hope this helps!

PLEASE ANSWER THIS QUESTION RIGHT.What piece of information does c identify in the following equation?
y=ax2+bx+c

Answers

i think y -interceptplease talk me my answer is correct or not

Solve the exponential equation for x.

Answers

Answer:

c. x=-2

Step-by-step explanation:

256=(1/4)^(3x+2)

㏒(1/4) (256)=3x+2

-4=3x+2

3x=-6

x=-2

distance formula is?

​

Answers

Answer:

what formula sorry cant help

Step-by-step explanation:

Answer:

[tex]d=\sqrt{(x2-x1)^{2} (y2-y1)^{2} }[/tex]

Step-by-step explanation:

This is what it is lol

Monu
Exploring Decimals
What is this number in standard form?
(7 x 100) + (4 x 100 ) + (8 x
1,000)
Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

700+400+8000

9100

Answer: 9,100

Step-by-step explanation:

[tex](8*1,000)+(4*100)+(7*100)=\\8,000+400+700=\\8,400+700=\\9,100[/tex]

Michael is running a marathon. Michael can run 1/2 of a mile in 1/10 of an
hour. How many miles can he run in one hour?

Answers

Answer:

5 Miles

Step-by-step explanation:

First, start with multiplying 1/2 by 10 (because we are using 1/10), and you get 10/2, which equals 5.

Answer: How many miles can he run in one hour?

six miles

But for a normal person it's one mile per 10 minutes or about six miles per hour.

17. Which is M=9pn solved for p? (1 point)
p = M/n p= M-9n. p= 9n/M. p=M/9n

Answers

B 56

Step-by-step explanation:

which statement best describes the roots of f(x)=x^2-6x+25?

Answers

Answer:

permiteme veré en álgebra baldor

The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.

What are the roots of the equation?

Let the equation be ax² + bx + c = 0. Then the roots of the equation will be

[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]

The quadratic equation is given below.

f(x) = x² - 6x + 25

Compare both the equations, then the value of a, b, and c will be 1, -6, and 25, respectively.

Then the roots of the equation are given as,

[tex]\rm x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4 \times 1 \times 25 }}{2 \times 1}\\x = \dfrac{6 \pm \sqrt{-64}}{2}[/tex]

Simplify the equation further, then we have

x = 3 ± 4i

The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.

More about the roots of the equation link is given below.

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Help pleeeeaase!! Marking most Brainly

Answers

I believe the answer is 62.5

please help it’s urgent!!

Answers

Answer:

Perimeter= a1+a2+a3

P= 20+ 15+ 25= 60 units

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