prove the given identity ​

Prove The Given Identity

Answers

Answer 1

Step-by-step explanation:

tan(2x) = sin(2x)/cos(2x) = 2sinxcosx/(cos^2x - sin^2x).

Dividing the num- and denominator by sinxcosx, we get

2/(cosx/sinx - sinx/cosx) = 2/(cotx - tanx)

cotA + cotB = cosA/sinA + cosB/sinB

We just add them like fractions, with a common denominator of sinAsinB

(cosAsinB + sinAcosB)/sinAsinB

Note that sinAcosB + sinBcosA = sin(A+B)

Therefore we have

sin(A+B)/sinAsinB


Related Questions

Given that (x + 2) is a factor of f(x), what is the value of f(-2)? Explain how you know.

Answers

Answer:

f(-2) = 0

Step-by-step explanation:

well we can express f(x) as follows

[tex]f(x) = (x+2)Q(x)\\\\[/tex]

we don't need the value of q(x) (for this exercise)

now evaluate when x = -2

[tex]f(-2)=(-2+2)Q(-2)\\\\f(-2)=0(Q(-2))\\\\f(-2) = 0[/tex]

Modular arithmetic
Pls a little explaine it

Answers

Step-by-step explanation:

(72)¹⁴³ ≡ x (mod 7)

Since 72 ≡ 2 (mod 7),

72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).

Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)

≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).

The answer is A.

There are 4 new seats in each row in a school auditorium. There are 12 rows in the auditorium. Each new seat cost $58. What is the cost of the new seats?

Answers

Answer:

$232

Step-by-step explanation:

Its $232. Easy Windows

Dr. Bethea has 11 pieces of fruit to give out to his 3 children. He wants to give each child the same number of pieces of fruit. How many pieces of fruit will be left over after he gives them out?

Answers

Answer:

2

Step-by-step explanation:

Since in this case they aren't going to cut up the fruit, you find how many times 3 will go into 11 evenly.  3x3=9 which is the largest multiple of 3 that will fit into 11.  11 pieces subtract 9 pieces given to children = 2 pieces left.  Hopefully this helps.  

Find the slope of the line
HELP PLEASE

Answers

1/3 because you follow the formula x2-x2/y2-y1

please solve
[tex] \frac{7 + 2x}{3} = 5[/tex]

Answers

Answer:

x=-3

Step-by-step explanation:

We move all terms to the left:

7+2x/3-(5)=0

We add all the numbers together, and all the variables

2x/3+2=0

We multiply all the terms by the denominator

2x+2*3=0

We add all the numbers together, and all the variables

2x+6=0

We move all terms containing x to the left, all other terms to the right

2x=-6

x=-6/2

x=-3

TIMED PLEASE HURRY :)
A therapist is studying the effects of meditation and yoga on reducing stress. He offers the treatments to a random sample of 30 of his patients and lets them choose which treatment they want to use.

Which of the following statements is not true about this experiment?

A The therapist let the patients choose the treatment; therefore, he will not be able to tell which treatment is more effective.
B The therapist used a random sample of 30 of his patients; therefore, he will be able to tell which treatment is more effective, yoga or meditation, in reducing stress.
C The therapist did not use random assignment; therefore, the variability between the patients is not evened out, and he will not be able to tell which treatment is more effective.
D The therapist used a random sample; however, the patients may choose which treatment they prefer, and their stress would be reduced due to their preference instead of the treatment.

Answers

Answer:

I think it is b

sorry it took so long I just seen your question

As per the question, the therapist is studying the effect of the meditation and yogi exercises on reducing the stress. He offers a Radom sample of 30 people to his patients and allows them to pick the treatment.

As the therapist uses a random sample of 30 thus the patients will be able to treatment is more effective and helps directly in reducing the stress levels.

Hence the option B is correct.

Learn more about the therapist is studying the effects of meditation and yoga.

brainly.com/question/21873857.

need help on 2,3,4 please help me please

Answers

Answer:

2)

3)

4)

Step-by-step explanation:

Write an equation, the points are (-7,2) and (-3,0)

Answers

B. y=3/2x+5 because it has 3/2 in the slope position of the equation.

Please can someone help me!!!?

Answers

Answer:

inertia

equilibrium

free body diagram

net force

force

Step-by-step explanation:

what is 2/3 - 8/15 ?

Answers

Answer:

2/15

Step-by-step explanation:

2/3 -  8/15

Get a common denominator

2/3 *5/5 = 10/15

10/15 - 8/15

2/15

Find x, and then any unknown angles in the quadrilateral.
x= ?

Answers

Answer:

x=65

other angle= 165

Step-by-step explanation:

quadrilaterals always have a total of 360 degrees

because of this you can set up an equation and solve

360=90+40+x+(4x-95)

360=130+5x-95

360=35+5x

325=5x

65=x

plug this in to find missing angle

4(65)-95=165

which of the following is equivalent to 4x^2+6x/4x+2​

Answers

Answer:

[tex]4x^2+\dfrac{7}{2}[/tex]

Step-by-step explanation:

The given expression is :

[tex]4x^2+\dfrac{6x}{4x}+2[/tex]

We need to find the equivalent expression for the above.

As, 6x/4x = 3/2

[tex]4x^2+\dfrac{6x}{4x}+2=4x^2+\dfrac{3}{2}+2\\\\=4x^2+\dfrac{7}{2}[/tex]

Hence, the equivalent expression is [tex]4x^2+\dfrac{7}{2}[/tex].

.........i think it’s 56 i’m not sure though

Answers

it is 56

because you need to break the figure into two parts

5 x 4 = 20

4 x 9 = 36

Simplify by combining like terms.
11y+ 7y 3y² – 4y²

Answers

Answer:

[tex]21y^{3} - 4y^{2} + 11y[/tex]

Step-by-step explanation:

[tex]11y + 7y(3)y^{2} - 4y^{2}[/tex]

=11y + 21y^3 +-4y^2

[tex]=21y^{3}-4y^{2}+11y[/tex]

Write the trinomial in factored form (as the product of two binomials)
x^2 -3x -18

Answers

Answer:

(x+2) (x+1)

Step-by-step explanation:

Answer:

( x + 3 )(x - 6)

Step-by-step explanation:

if you factor x2−3x−18

x2−3x−18

The middle number is -3 and the last number is -18.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -3

Multiply together to get -18

Can you think of the two numbers?

Try 3 and -6:

3+-6 = -3

3*-6 = -18

Fill in the blanks in

(x+_)(x+_)

with 3 and -6 to get...

(x+3)(x-6)

what is a corresponding side in any shape​

Answers

Answer:

a corresponding side is a pair of matching sides that are in the same spot of two different shapes. The shapes must be either congruent or similar.

Step-by-step explanation:

Solve for p in 7.7/3.6 = 2.3/p

Answers

Answer:

1.07532467532 etc.

Step-by-step explanation:

cross multiply

7.7p=3.6(2.3)

7.7p=8.28

WILL GIVE BRAINLIEST!!!!
Which fraction is equivalent to -3/7?

3/-7
-3/-7
-7/3
7/3

Answers

3/-7 is equivalent to -3/7z

Find the missing angle B

Answers

Answer:

The missing angle B:

m∠B = 25⁰

Step-by-step explanation:

Given the angles

A = 100⁰

C = 55⁰

B = ?

We know that the sum of the angles of triangles is 180⁰.

so

A + B + C = 180⁰

100⁰ + B + 55⁰ = 180⁰

B =  180⁰ - 55⁰ - 100⁰

B =  25⁰

Therefore, the missing angle B:

m∠B = 25⁰

Graph $y=5x-2$y=5x−2​ . LineMove UndoRedoReset

Answers

y = 5x - 2

graph:

(attached)

When a force of 30 N acts on a certain object the acceleration of the object is 5 m/s^2 if the acceleration becomes is 8m/s ^2 what is the force

Answers

Answer:

48 N

Step-by-step explanation:

The equation for force is

F = m * a

where F is force, m is mass, and a is acceleration

30N = m * 5m/s²

m = 6 kg

F = 6kg * 8m/s² = 48 N

r=1/6 t +4 make t the subject​

Answers

Answer:

t = 6 r -24

Step-by-step explanation:

Given that the function

                       [tex]r = \frac{1}{6} t + 4[/tex]

                  ⇒ [tex]\frac{1}{6} t = r-4[/tex]

               ⇒  t = 6 ( r-4)

               ⇒ t = 6 r - 24

Which of the following expressions has a solution of 7 ? *
7 – 3 x (2 + 6)
(7 – 3) x 2 + 6
7 – (3 x 2) + 6

Answers

Answer:

the last one

Step-by-step explanation:

I hope this helps :)

Answer:

The last one I mean C ig

Step-by-step explanation:

7 - (3x2) + 6

Roasting competition! Whoever uses the best roast gets an awesome prize and u can roast in the comments too!

Answers

Answer:

I got u covered and i will still roast u in the comments imma good roaster to!

Step-by-step explanation:

You’re the reason God created the middle finger.

You’re a grey sprinkle on a rainbow cupcake.

If your brain was dynamite, there wouldn’t be enough to blow your hat off.

You are more disappointing than an unsalted pretzel.

Light travels faster than sound which is why you seemed bright until you spoke.

You r is so annoying, you make your Happy Meal cry.

You have so many gaps in your teeth it looks like your tongue is in jail.

Your secrets are always safe with me. I never even listen when you tell me them.

I’ll never forget the first time we met. But I’ll keep trying.

Answer: Your so fat you can’t even stand up, if you tried you’d burst like a ballon!

Step-by-step explanation:lol


Please help a brother out

Answers

Answer:

m<b=44

Step-by-step explanation:

180-90-46=44

All triangle angles add up to be 180

Answer:

MY MAN

B is 44 degrees INTERIOR

READ EXPLANATION

Step-by-step explanation:

the way the picture is show is pretty confusing, I don’t know if it’s asking for the exterior angle or interior angle. If interior it’s 44 but it could be exterior. But I’m pretty sure its interior

3) What is 95% of 800?

Answers

Answer:

760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

I checked using a calculator

12÷390=
whats the remainder?

Answers

Answer: 2/65

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

Pls help I’ll brainlest grades close today

Answers

Answer:

12.5%

Step-by-step explanation:

[First Value – Second Value] ÷ [(First Value + Second Value) ÷ 2] × 100

[50 - 30] ÷ [ 50 + 30] ÷ 2 × 100

20 ÷ 80 ÷ 2 × 100

0.25 ÷ 2 × 100

0.125 × 100

12.5 %

Answer:

12.5%

!!!!!!!!

What is the postulate or theorem allows you to state that triangle DEF ~ Triangle GHJ

Answers

Answer:

AAA postulate

Step-by-step explanation:

because similar triangle only have the axiom of angle not side...i mean i guesss if im wrong sorry but still thanks for the points

Answer:

sas

Step-by-step explanation:

the answer is just sas i took the assignment

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