Verify the identity:
sin(AB)
sin(A B
tan(A) | tan(B)
tan(A) =tan(B)

Verify The Identity:sin(AB)sin(A Btan(A) | Tan(B)tan(A) =tan(B)

Answers

Answer 1

Answer:

Step-by-step explanation:

Right side =

sin A / cos A + sinB/ cosB         (sinAcosB + sinB cos A ) *   cosA cosB

-------------------------------------    =          cosA cosB                (sinAcosB - snBcosA )        sinA/cosA -  sinB/cos B

= Left side.

Answer 2

The trigonometry identity [tex]\frac{sin(A+B)}{sin(A-B)}[/tex] is equals to [tex]\frac{tan(A)+tan(B)}{tan(A)-tan(B)}[/tex].

What is trigonometric identity?

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

According to the given question.

We have a trigonometric identity.

[tex]\frac{sin(A+B)}{sin(A-B)} =\frac{tan(A)+tan(B)}{tan(A)-tan(B)}[/tex]

To prove the above  trigonometric identity we will show L.H.S = R.H.S

[tex]L.H.S=\frac{sin(A+B)}{sin(A-B)}[/tex]

⇒ [tex]L.H.S = \frac{cosBsinA-sinBcosA}{sinAcosB-cosAsinB}[/tex]

⇒ [tex]L.H.S = \frac{\frac{sinAcosB}{cosAcosB} + \frac{sinBsinA}{cosBcosA} }{\frac{sinAcosB}{cosAcosB}-\frac{cosAsinB}{cosAcosB} }[/tex]     (dividing the numerator and denominator by [tex]cosAcosB[/tex] )

⇒ [tex]L.H.S = \frac{\frac{sinA}{cosA} +\frac{sinB}{cosB} }{\frac{sinA}{cosA}-\frac{sinB}{cosB} }[/tex]

⇒ [tex]L.H.S = \frac{tanA+tanB}{tanA- tanB}= R.H.S[/tex]

Hence, L.H.S = R.H.S

Find out more information about trigonometric identities here:

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Related Questions

% of 400,000 = 100,000

Answers

Answer:

25%

Step-by-step explanation:

100,000/400,000 x 100

= 1/4 x 100

= 25%

Hence, 100,000 is 25% of 400,000

Feel free to mark this as brainliest :D

Answer:

x/100 x 400,000 = 100,000

x100                            x100

400,000x = 10,000,000

Divide by 400,000 on both sides:

X = 25%

What is the value of P

Answers

Answer:

Hello! answer: 42

Step-by-step explanation:

These are vertical angles meaning it will have the same measure so p = 42 hope that helps!

34. find the square root of 298116 by
using long division method *​

Answers

Answer:

hope it is helpfulto you

Answer:

Step-by-step explanation:

The answer is 546

The odds of winning a contest are approximately 5:1476. How many winners are there likely to be if there are 50000 participants?

Answers

i think it might be 295

Answer:

Approximately 169

Step-by-step explanation:

Set up as fractions and use cross multiplilcation to solve for the unknown.

These are our fractions from the information we are given; the winners represent the numerators (and x is the unknown, becuase we don't yet know how many winners there will be with 50000 participants). Note that the denominator on the first fraction is (1476 + 5) because we want it to represent TOTAL amount of particpants in the ratio:

[tex]\frac{5}{1481} = \frac{x}{50000}[/tex]

Now cross multiply by multiplying numerators and denominators that are ACROSS from each other, so 5 * 50000 and 1481 * x; now we have:

250000 = 1481x

Now to isolate x (to know its value) we need to divide both sides by 1481, and we are left with:

168.8 = x

But I rounded up to 169.

Find the radian measure of 120 degrees.

Answers

Answer:

The radian :

[tex] \frac{2\pi}{3} [/tex]

Find the slope of a line passing through the given points.
(-4, 2) and (5,6)
slope =

Answers

Answer:

4/9

Step-by-step explanation:

To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.

The formula is (y²-y¹)/(x²-x¹).

So we just plug in the coordinates.

(6-2)/(5-(-4))

(6-2)/(5+4)

4/9

So the slope is 4/9

---

hope it helps

A rectangular garden 800 square feet in area is to be fenced off against rodents. Find the dimensions that will require the least amount of fencing if one side of the garden is already protected by a barn.

Answers

Step-by-step explanation:

the area of a rectangle is

a × b

with a, b being the length and width (in any sequence).

a×b = 800

a = 800/b

the perimeter is

2a + 2b

one side is not needed, so we take one of them off. e.g. we take off one a.

a + 2b need to be a minimum

800/b + 2b

f(b) = 800/b + 2b

the extreme value(s) we find as the zero points of the first derivative.

f'(x) = -800/(b²) + 2 = 0

2 = 800/(b²)

2b² = 800

b² = 400

b = ±20 ft

negative lengths don't make sense, so, 20 ft is the solution.

a×b = 800

a×20 = 800

a = 40 ft

so, the minimum fencing is for

a = 40 ft

b = 20 ft (2 times)

the second a is covered by the barn.

(-2,-3) (-1,2) write the equation in y=mx+b​

Answers

Answer:

y = 5x + 7

Step-by-step explanation:

(-2, -3) & (-1, 2)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(2 - (-3)) / (-1 - (-2))

Simplify the parentheses.

= (2 + 3) / (-1 + 2)

= (5) / (1)

Simplify the fraction.

5/1

= 5

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 5x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 5(-1) + b

To find b, multiply the slope and the input of x(-1)

2 = -5 + b

Now, add 5 to both sides to isolate b.

7 = b

Plug this into your standard equation.

y = 5x + 7

This is your equation.

Check this by plugging in the other point you have not checked yet (-2, -3).

y = 5x + 7

-3 = 5(-2) + 7

-3 = -10 + 7

-3 = -3

Your equation is correct.

Hope this helps!

A line passes through the point (8,-4) and has a slope of 5/4

Answers

Answer:

y = 5/4x - 14

Step-by-step explanation:

Given:

Passes through (8, -4)

Slope (m) = 5/4

Slope-intercept equation:

y - y1 = m(x - x1)

y - (-4) = 5/4(x - 8)

y + 4 = 5/4x - 10

y = 5/4x - 14

The text book store sold a combined total of 326 history and chemistry textbooks in a week. The number of chemistry textbooks sold was 86 less than the number of history textbooks sold. How many textbooks of each type was sold?

Answers

Answer:

The sentence

"The Number of Chem textbooks sold is 86 less than the number of History textbooks"

This seems to be the confusing part.

Now look at it this way...

'If CHM text is 86 less than History text... It also means that History Text is 86 More than CHM'

This expression can be written as

Let History Text be "H"

Let CHM text be "C"

C - 86 = H

or

C=H + 86.......1

First line of this question is interpreted thus

H + C = 326.......2

From eqn 1... C=H+86

Substitute into Eqn 2

H + C=326

H + (H+86)=326

H+H=326-86

2H=240

H=240/2

H=120.

C=H+86

C=120+86

C=206.

This answer is correct... Why?

The key statement says .. The Number of CHM sold is 86 less than History...

Also interpreted as

The Number of CHM – 86 = History

206 - 86 =120.

Have a great day!!!

find the quotient of -75 divided (-15)

Answers

Answer:

5

Step-by-step explanation:

-75 divided (-15) = 5

the answer is 5. -75 divided by -15 equals 5

How to find circumference

Answers


To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14). c=2πr

Find the missing coordinate to complete the ordered-pair solution to the given linear equation.
y=8x + 2
(a) (0, ?)
(b) (3,?)

Answers

Answer:

(a) (0, 2)

(b) (3, 26)

Step-by-step explanation:

y = 8x + 2

(a) x = 0, y = 8(0) + 2 = 2

(b) x = 3, y = 8(3) + 2 = 24 + 2 = 26

What is 0.325 written as a percent?

Answers

Answer:

32.5%

Step-by-step explanation:

Answer:

32.5

Step-by-step explanation:

divided by 100 to get percentage

Can anyone help me find the function for this trig graph ? i need a specific answer for the function , 50 pts

Answers

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

medical research team is conducting a study to determine whether there is a relationships between aerobic walking and cholesterol levels. A random sample of 315 subjects is selected and represented in the table below. Test the claim that walking and cholesterol levels are related. Include appropriate statistical evidence to support your findings.

Answers

Answer:

Chi-Square and Linearization ... A random sample of 315 subjects is selected and represented in the table below. ... claim that aerobic walking and cholesterol levels are related.

What is the volume of the given cone ?

Answers

Answer:

235.619 is my answer since I have done V = (pi) radius squared and height/3

Step-by-step explanation:

the answer would be B

What is the interquartile range of the data shown in box plot help for brainlist

Answers

Answer:

10

Step-by-step explanation:

subtract lower quartile (10) from upper quartile (20)

Un camion se desplazo de punto "a" al punto "b" quien a cambiado de posicion?
a) El camión
b) los hombres parados en la rampa​

Answers

[tex] \huge \underbrace \mathfrak \red{Respuesta}[/tex]

a) Para The Man The Truck ha cambiado de posición.

b) Para el camión, el hombre parado en la rampa ha cambiado de posición.

[tex] \bold\green{Entonces\: la}[/tex] [tex]\underline\bold\red{opción \:A}[/tex] [tex] \bold\green{ es\: correcto}[/tex]

Espero que esto te ayude ❤️

What are the coordinates of the foci of the conic section shown below?

Answers

Answer:

((y + 2) ^ 2)/25 - ((x - 3) ^ 2)/4 = 1 O A. ( (3, - 2 plus/minus sqrt(21)) B. (3, - 2 plus/minus sqrt(29)) O B. O c. D . (3 plus/minus sqrt(21), - 2); (3 plus/minus sqrt(29), - 2)

The foci of the hyperbola will be (3, -2 + √29) and (3, -2 - √29). Then the correct option is B.

What is a hyperbola?

The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.

The hyperbolic equation is given as,

(y - k)² /a² - (x - h)² /b² = 1

Then the foci of the hyperbola are given as,

(h, k + c) and (h, k - c)

The equation of the hyperbola is given below.

(y + 2)² /25 - (x - 3)² / 4 = 1

Compare the equations, then we have

(h, k) = (3, -2)

a² = 25

b² = 4

Then the value of 'c' is given as,

c² = a² + b²

c² = 25 + 4

c² = 29

c = √29

Then the foci of the hyperbola will be (3, -2 + √29) and (3, -2 - √29). Then the correct option is B.

More about the hyperbola link is given below.

https://brainly.com/question/12919612

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What is the value of z in the equation 3z + 5 = 4z − 8?

1.−13
2. −1
3. 1
4. 13

Answers

Answer:

it would be 13

Can i get help with some of these??

Answers

Answer:

1 no.SinA=24/25

SinB=7/25

CosA=7/25

CosB=24/25

TanA=24/7

TanB=7/24

2 no.SinA=35/37

SinB=12/37

CosA12/37

CosB=35/37

TanA=35/12

TanB=12/35

Step-by-step explanation:

GUYS PLEASE HELP ALMOST DUE

Answers

Answer:

1/5

Step-by-step explanation:

y = 12

12 = 1/5 x 60

12= 12

y = 9

9 = 1/5 x 45

9 = 9

and so on and it always results to one fifth

Suppose that, as course instructor, you decide instead that you want to calculate a 95% confidence interval for the population proportion of all Cal Poly students who have ever marched in a Memorial Day Parade, and that you would like the margin of error of your 95% confidence interval to be .05, and that you would like to use a (most) conservative sample size for this task. What sample size should you use

Answers

Answer: 385

Step-by-step explanation:

If prior population proportion p is unknown, then the formula to compute sample size will be:

[tex]n= 0.25(\frac{z^*}{E})^2[/tex]

where, E= Margin of error, z* = Critical zvalue

Given: E= 0.05

Critical value for 95% confidence = 1.96

Required sample size: [tex]n=0.25(\frac{1.96}{0.05})^2[/tex]

[tex]\\=384.16\approx385[/tex]

Hence, the required sample size = 385

If y varies directly as x, which equation represents when x = 36 and y = 12?

Answers

Answer:

y=3x

Step-by-step explanation:

Find the sum of the geometric series if n = 5, r = 2, a = 3.

Answers

Answer:

hope it helps you see the attachment for further information

sorry but my phone couldn't captured r=2

outside the court ard is 120 m“, find the width of the path.
A square garden has an area of 441 m². If the path of uniform width surrounding inside the
garden is 216 m², find the width of the path.

Answers

Answer:

Area of a square garden = 2, 500 m².

Length of the side of the garden =  √2,500 = 50 m.

Width of the path = 2.5 m.

Path is inside the garden.

Width of the garden that is inside (enclosed) by the path:

        50 - 2 * 2.5 = 45 m.

Length of the garden inside by the path :  = 45 m.

So the area of garden inside the path = 45 * 45 m²

     = 2, 025 m².

Area of the path = 2, 500 - 2, 025  

    = 475 m².

Cost of laying the path = Rs 25 /m² * 475 m²

   = Rs 11, 875.

Step-by-step explanation:

Which one is it?.....

Answers

Answer:

The answer is Rotation

enjoy your day hope this helps

Complete all the problems.
1.
X - 6 = -24
Solve for x.

Answers

Answer:

x= -18

Step-by-step explanation:

x= -24 + 6

Add -24 and 6.

x= -18

Answer:

X = -18

Step-by-step explanation:

You want to isolate X by itself. To isolate X on one side of the = sign, use the addition property of equality (to undo the subtraction of 6 from x) by adding 6 to both sides of the equation. We use the addition property of equality because this is the inverse operation. It is important to add 6 to both sides of to maintain an equivalent equation.

1. Set up your equation

      X - 6  = -24

          +6     +6

2. Solve out

   X - 6  = -24

       +6     +6

       X    =  -18

Answer: -18

Please solve fast. I will give Brainleist or whatever it’s called

Answers

Answer:

84in

Step-by-step explanation:

84in

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