(1+sinA-cosA)/1+sinA+cosA=(1+sinA+cosA)/1+sinA-cosA=2cosecA​

Answers

Answer 1

Answer:

Hi,

LHS = sinA-cosA+1/sinA+cosA-1

divide both numerator and denominator by cosA

LHS=(tanA−1+secA)/(tanA+1−secA)LHS=(tanA−1+secA)/(tanA+1−secA)

Now

sec2A=1+tan2Asec2A=1+tan2A

sec2A−tan2A=1sec2A−tan2A=1

Using above relation at denominator of LHS

LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)

LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))

LHS=1/(secA−tanA)LHS=1/(secA−tanA)

LHS=RHSLHS=RHS

Hence Proved.

I think above proof will clear your doubt,

All the best.


Related Questions

Elina is gathering up change she has saved. She has a total of $2.60. All of her change is in either nickles, dimes, or quarters. She has twice as many dimes as quarters and two less quarters than nickles. Is it possible that she has eight dimes, four quarters, and six nickels? Explain.

Answers

Answer:

sadsadwsd

Step-by-step explanation:

⚠️⚠️Can someone answer both of these? PLEASE I WANNA FINISHJSKSLWLA ⚠️⚠️

Write an equation

Answers

Answer:

j + 5 = s

a = l + 3

Step-by-step explanation:

An equation uses the symbol.
True
False

Answers

Answer:

False

Step-by-step explanation:

Answer:

If you mean the symbol = then true.

Step-by-step explanation:

equation = equal sign

Uniforms are sold in packages of 8. The store's 137 employees will each be given 4 uniforms. How many uniforms will the store need to order all together?

Answers

Answer:

552 uniforms (69 packages)

Step-by-step explanation:

since each employee will be given 4 uniforms and each package contains 8 uniforms, you need 1 package of uniforms for every 2 employees.

Total number of employees = 137

total number of uniform packages = 137 / 2 = 68.5 packages which must be rounded up since you need to have enough uniforms for everyone = 69 packages

69 packages x 8 uniforms per package = 552 uniforms

Find an equation for the line below in y=mx+b

Answers

Answer:

y = -1/2x - 11/2

Step-by-step explanation:

Using slope intercept form y = mx + b, to determine the equation, first count the rise(vertical or change in y), and run(horizontal or change in x) of the line.

m is the slope, b is the y-intercept which will remain when x is 0 as this will cancel out the m.

Be careful when determining the slope, and pay attention to the steps(count) of the x, and y axis.

As this graph measures a line with a negative slope passing through the y axis at -5 1/2 → -11/2, with a step of 1, we can count the squares normally to determine the slope.

So since we know that this line has two obvious points (-5,-3) and (1,-6) we can use the equation for slope to measure it's steepness.

m = y2-y1/x2-x1

with (x1,y1) being the first point, and (x2,y2) being the second point.

So: (negative minus a negative makes a positive)

m = -6-(-3)/1-(-5) = -6 + 3/ 1 + 5 = -3/6 = -1/2.

Since m = -1/2, and b = -11/2, the line must be y = -1/2x - 11/2.

a cone has a volume of 33 cubic inches. of a cylinder has the same height and radius as the cone, what is the volume of the cylinder

Answers

Answer: 40 cubic inch

Step-by-step explanation:

soo john has 50 candy bars and he eats 50% of them what does he have now.

Answers

Answer:

25 candy bars

Step-by-step explanation:

Answer:

25 candy bars

Step-by-step explanation:

50 * 0.5 = 2550*1/2 = 2550/2 = 25

You can use these ways to figure out the answer. The answer is 25 candy bars.

Hope this helped,

Kavitha Banarjee

With a coupon, you get a pair of shoes that normally cost $80.00 for 30% off. How much is the discount?

Answers

Answer: The discount is 24$ so the 80$ shoes are now 56$.

Certain species of fish costs $4.49 each. You spend at most $35. How many of this type of fish can you buy for your aquarium?
Also how do you give the brainlyest answer to someone?

Answers

Answer:

7 fish

Step-by-step explanation:

1. 4.49x ≤ 35

2. Divide both sides by 4.49 so it cancels out the multiplication. x ≤ 7.79510022272

3. You can't split fish, so you can buy 7 fish.

Not sure how to give Brainliest, though.

Answer:

Do 4.49 times 8 it'll get your answer

Step-by-step explantion

NO it's 8 he can buy 8 Of them fishes

Five cubic meters of copper has a mass of 44,800 kilograms. What is the density of copper?

Answers

Answer:

i thin it is 8960

Step-by-step explanation:

44800 divided by five = 8960

Calculate the area of the triangle:
A=

(-2, 6)
(-2, 0)
(7,-5)

Helppp ASAP

Answers

Answer:

I got 27 as an answer

Step-by-step explanation:

Answer:

I hope this may help you ...

EASY POINTS

Kite LMNO is shown below.

Kite L M N O. Angle L is 130 degrees and angle N is 74 degrees. Angle L and N are opposite to each other.

What is the measure of Angle M?
A. 56Degrees
B. 78Degrees
C. 156Degrees
D. 204Degrees

Answers

I think the answer is B.78Degrees
78 DegreesEdge 2022

Step-by-step explanation:

Piper is at the grocery store and plans on buying cans of soup and frozen dinners, but
is concerned about their sodium content. Each can of soup has 150 mg of sodium and peach frozen dinner has 450 mg of sodium.

How many milligrams of sodium are there in 4 cans of soup and 2 frozen dinners?

How many milligrams of sodium are there in c cans of soup and f frozen dinners?

Answers

Answer:

1,500 mg

150c + 450f

Step-by-step explanation:

Each can of soup has 150 mg of sodium and each peach frozen has 450 mg of sodium.

Piper plans to buy some of each product and wants to know how many milligrams of sodium are there in 4 cans of soup and 2 frozen dinners.

Since each can of soup has 150 mg of sodium, 4 cans have 4*150 = 600 mg of sodium.

Each frozen dinner has 450 mg of sodium, thus 2 of them have 2*450 = 900 mg of sodium.

There are 600 + 900 = 1,500 mg of sodium in this combination.

If Piper buys c cans of soup and f frozen dinners, they will have 150c + 450f milligrams of sodium.


how do u find the sum of (5x-2) + (4x+6)

Answers

[tex] \: \: \: \: \: \: \: \: (5x - 2) + (4x + 6) \\ \\ = > 5x - 2 + 4x + 6 \\ \\ = > 5x + 4x - 2 + 6 \\ \\ = > \green{\boxed { 9x + 4}}[/tex]

Answer:

9x+4

Step-by-step explanation:

First, remove the unnecessary parentheses from (5x-2)+(4x+6) making it 5x-2+4x+6 because when there is a + in front of an expression in parentheses, the expression remains the same.

Next, collect like terms, turning 5x-2+4x+6 into 9x-2+6.

Now, calculate the sum and you should get 9x+4.

log(x+1)−log(x−8)=log(10)

How do i solve this?

Answers

9514 1404 393

Answer:

  x = 9

Step-by-step explanation:

The applicable rule of logarithms is ...

  log(a) -log(b) = log(a/b)

__

Use the rules of logarithms to simplify the left side to a single log, then take the antilogs and solve the resulting equation.

  log(x+1) -log(x-8) = log(10)

  log((x+1)/(x-8)) = log(10)

  (x +1)/(x -8) = 10 . . . . . . . take antilogs

  x +1 = 10(x -8) . . . . multiply by x-8

  81 = 9x . . . . . . . add 81-x, simplify

  9 = x . . . . . . . . . divide by 9

_____

When the equation is rewritten to the form f(x) = 0, the x-intercept is the solution.

What is the intermediate step in the form (x + a)? = b as a result of completing the
square for the following equation?
x2 + 18x + 57 = 12

Answers

Answer:

(x + 9)² = 36

Step-by-step explanation:

Given

x² + 18x + 57 = 12 ( subtract 57 from both sides )

x² + 18x = - 45

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(9)x + 81 = - 45 + 81

(x + 9)² = 36

Estimate by rounding the largest number to hundreds and then divide.
869 ÷ 6 is approximately

Answers

Answer:

150

Step-by-step explanation:

Round: 869 → 900900 ÷ 6 = 150

I hope this helps!

A scale model of a building is 6in tall. The scale of the model is 1in. :50ft. How tall is the actual building?​

Answers

Answer:

300 ft

Step-by-step explanation:

Lines g and h are parallel. What is the measure of ∠QRS?

Answers

Answer:

is there a diagram

Step-by-step explanation:

Carmen is printing an essay that is 9 pages long, and each page contains 45 lines of text. It takes her 5 minutes to print the essay. At what rate did the essay print?

Answers

Answer:

1.8 pages per minute and 81 lines per minute.

Guys plz help Answer this Question!!!!!

Answers

Answer:

X intercept is (-40,0) why intercept is (0,15)

Step-by-step explanation:

youyou will be able to tell this by looking at the graph and counting where the points are

Find QR
QR + RS = QS
18 + x + 2x + 24 = 17

Answers

Answer:

QR = 10

Step-by-step explanation:

QR + RS = QS , substitute values

18 + x + 2x + 23 = 17 , that is

3x + 41 = 17 ( subtract 41 from both sides )

3x = - 24 ( divide both sides by 3 )

x = - 8

Thus

QR = 18 + x = 18 - 8 = 10

use patterns blocks to help fidn each of the fractions

Answers

Answer:1/2?

atleast that what i thought it was

Yes the answer should be 1/2

what is 8.756×8.8 ?​

Answers

Answer:

77.0528

Step-by-step explanation:

hope this helps

Answer:

77.0528

but if needs to be simplified to the tenth it would be 77.1

Step-by-step explanation:

just multiply both numbers together and you'll get the answer.

Plzz help!!!
What is the value of both these problems?

Answers

The first one will be 71 as the answer. The second one 62 as an answer

Problem 2

We have an isosceles triangle because of the two congruent sides (21 each).

The angles opposite the congruent sides are known as the base angles, and the base angles are congruent. For now, we don't know what they are. They are both x. I recommend writing 'x' onto the diagram where that missing unmarked angle is.

Then we'll use the idea that all three angles of any triangle always add to 180

x+x+38 = 180

2x+38 = 180

2x = 180-38

2x = 142

x = 142/2

x = 71

Answer: Choice A) 71

=======================================================

Problem 3

We use the same ideas as the previous problem. This time the base angles are 56 degrees each. The remaining angle is x.

x+56+56 = 180

x+112 = 180

x = 180-112

x = 68

Answer: Choice A) 68

What is a pre-image?

Answers

Answer:

an image before the image your seeing

Step-by-step explanation:

A preimage or inverse image is the two-dimensional shape before any transformation. The image is the figure after transformation.

The points (-1, r) and (2, 1) lie on a line with slope 2. Find the missing coordinate r
Please help!!!

Answers

Answer:

r = -5

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

(-1, r)

(2, 1)

r - 1/-1 - 2 = r - 1/-3

Slope = 2

-3 x 2 = -6

-6 -(-1) = -5

-5 - 1 = -6

-6/-3 = 2

So:

r = -5

Hope this helps!

9514 1404 393

Answer:

  r = -5

Step-by-step explanation:

The x-coordinate of the partially-defined point is 3 units less than the x-coordinate of the given point. The slope of 2 tells you the y-coordinate of the partial point (r) will be 2·3 = 6 units less than the y-coordinate of the given point. That is ...

  r = 1 - 2·3

  r = -5

__

You are given the slope of the line and a point on it, so you can write the point-slope equation of the line:

  y -y1 = m(x -x1) . . . . . . . line with slope m through point (x1, y1).

For the given point and slope, this is ...

  y -1 = 2(x -2)

For an x-value of -1, the corresponding y-value will be ...

  r = 2(-1-2) +1 = -6 +1

  r = -5

Anthony earned $131 in tips last night while working at the restaurant. If his tips
consisted of $1 bills and $5 bills only and he counted 47 bills in total, then how
many $5 bills did Anthony receive?

Answers

Given:

Total income form tips = $131

His tips  consisted of $1 bills and $5 bills only.

Total number of bills = 47

To find:

The number of $5 bills.

Solution:

Let x be the number of $1 bills and y be the number of $5 bills.

Total bills : [tex]x+y=47[/tex]            ...(i)

Total income : [tex]x+5y=131[/tex]        ...(ii)

Subtract (ii) from (i), we get

[tex]x+5y-(x+y)=131-47[/tex]

[tex]x+5y-x-y=84[/tex]

[tex]4y=84[/tex]

[tex]y=21[/tex]

Therefore, the number of $5 bills is 21.

1/3 cups of butter?
(Hint:use a calculator to figure out how many tablespoons a 1/3 of a cup is,your answer will not be a whole number)

Answers

Answer:

Around 5 tablespoons or to be exact: 5.333333333333333

which of the following is the equation logx4=-2 written in exponential form

Answers

X^-2=4. You got it correct:)

1. The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;

⇒ x⁻² = 4

2. The value of √e⁷/e⁵ will be;

⇒ e

3. The equivalent expression of 3 will be;

⇒ ln e³

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

1. The expression is the equation [tex]log_{x} 4 = - 2[/tex].

2. The equation is √e⁷/e⁵.

3. The number is 3.

Now,

The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] is calculated as;

[tex]log_{x} 4 = - 2[/tex]

By the definition of logarithmic, we get;

4 = x⁻²

Hence, The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;

⇒ x⁻² = 4

2. The equation is √e⁷/e⁵.

Solve as;

√e⁷/e⁵ = √ e ⁷ ⁻ ⁵

           = √ e²

           = e

Thus,  The value of √e⁷/e⁵ will be;

⇒ e

3. Since, by the definition of logarithmic;

[tex]ln_{e} e = 1[/tex]

So, By option 1;

[tex]ln_{e} e^3[/tex] = [tex]1 * 3[/tex] = [tex]3[/tex]

Thus, The equivalent expression of 3 will be;

⇒ ln e³

Learn more about the expression visit:

https://brainly.com/question/1859113

#SPJ2

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