how do i establish this identity?

How Do I Establish This Identity?

Answers

Answer 1

RHS

[tex]\\ \sf\longmapsto \frac{2 \tan( \theta) }{ \sin(2 \theta) } \\ \\ \sf\longmapsto \frac{ \frac{2 \sin( \theta) }{2 \cos( \theta) } }{ \sin(2 \theta) } \\ \\ \sf\longmapsto \frac{1}{ \cos {}^{2} ( \theta) } \\ \\ \sf\longmapsto {sec}^{2} \theta[/tex]


Related Questions

If y= cos x, what x-value corresponds to a y-value of 1/2 between pi and 2 pi

Answers

Answer:

pi/3, 5pi/3

Step-by-step explanation:

We can see that when cosine is at 1/2, the angle measures are pi/3 degrees and 5pi/3 degrees. You can use a unit circle to find this. You can also find arccos(1/2), but that will only give you the value pi/3, not 5pi/3.

We can plug these in to find that they are indeed equal to 1/2.

The x-value that corresponds to a y-value of 1/2 between π and 2π is π/3.

Here, we have,

To find the x-value that corresponds to a y-value of 1/2 between π and 2π for the equation y = cos(x), we can use the inverse cosine function (also known as arccosine or cos⁻¹).

The inverse cosine function will give us the angle whose cosine is a specific value.

In this case, we want to find the angle whose cosine is 1/2.

Using the inverse cosine function, we can write the equation as:

x = arccos(1/2)

To solve this equation, we need to evaluate the inverse cosine of 1/2. In general, the inverse cosine of a value returns an angle between 0 and π (180 degrees). In this case, we are interested in finding an angle between π and 2π.

The value of arccos(1/2) is π/3.

Therefore, the x-value that corresponds to a y-value of 1/2 between π and 2π is π/3.

It's important to mention that the cosine function is periodic, so there are multiple x-values that can correspond to a y-value of 1/2. In this case, we have chosen the x-value that lies between π and 2π.

To learn more cos-function click:

https://brainly.com/question/14286244

#SPJ4

Graph
-2(3x+4)(x-1)(x-3)^2

Answers

Answer:

Step-by-step explanation:

which is the least per pound 5 pounds of chicken for 9.45,3 pounds for 5.97, or 1 pound for 2.05

Answers

5 pounds - 1.89

3 pounds - 1.99

1 pound - 2.05

In this case, the 5 pounds of chicken is the cheapest by exactly one dime.

You wish to buy a new skateboard. To earn money, you sell your baseball cards to
your friends for $2.50 each. If the new skateboard costs $98, what is the minimum number
of baseball cards you will have to sell?

Answers

So first you sell your baseball cards for $2.50 and you need $98 THEN

The minimum cards u need to sell is
98/2.50 which is 39.2 but you can’t sell cards in fraction so the final answer is 40

Need help with this question pre collegee

Answers

Answer:

Step-by-step explanation:

the domain is (-∞,∞)

I will give brainliest to whoever gets the right answer

Answers

Answer:

[tex]18[/tex]

Step-by-step explanation:

Step 1:  Input the values and solve

[tex]b - 7a[/tex]

[tex](4) - 7(-2)[/tex]

[tex]4 - (-14)[/tex]

[tex]4 + 14[/tex]

[tex]18[/tex]

Answer:  [tex]18[/tex]

I WILL GIVE BRAINLIEST IF YOU ARE CORRECT!!
A. The typical value and the spread are both greater in set B. B. The typical value and the spread are both greater in set A. C. The typical value is greater in set B. The spread is greater in set A. D. The typical value is greater in set A The spread is greater in set B.​

Answers

Answer:

D. The typical value is greater in set A. The spread is greater in set B.​

Step-by-step explanation:

     The typical value is greater in set A.

[] We can see that the red arrow already shows this, but the average (add up all the numbers and divide by number or numbers) in set A is greater than in set B as 7 > 6.

     The spread is greater in set B.​

[] The spread can also be thought of as the range (largest number - smallest number) so the spread is greater than B since 7 > 3.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

What is the solution to the system of equations

Answers

Answer:

x = 5

y = -4

Step-by-step explanation:

Help help help math please last one be honest

Answers

Answer:

122 degrees

Step-by-step explanation:

The two intersecting lines are parallel for this problem, which means that the angle next to angle3 is the same degree measure as the one that is 58 degrees.

Also, remember that two angles next to each other on a straight line are supplementary, meaning that they add to 180 degrees.

When keeping these two things in mind, you can solve like this:

180 = angle3 + 58

180 - 58 = angle3

angle3 = 122

122 degrees

Pls answer and give explanation will give brainiest

Answers

Answer:

I don't know

Step-by-step explanation:

Answer:

11/18

Explanation:

Find the LCM

6 × 3 = 18

9 × 2 = 18

Since you found the LCM, multiply the numerators by the number you multiplied the denominators by.

[tex]\frac{5 *3}{6*3}= \frac{15}{18}[/tex]

[tex]\frac{2*2}{9*2}=\frac{4}{18}[/tex]

Now subtract.

[tex]\frac{15}{18} -\frac{4}{18} =\frac{11}{18}[/tex]

Carlos is going on a boat tour. The boat will travel a total distance of 35 kilometers during the 7-hour tour.
If the boat travels at a constant speed during the tour, what distance in kilometers should the boat travel in 3 hours?

Answers

35 kilometers in 7 hours would be 7/35 which is 5 kilometers an hour, in 3 hours it would be 15 kilometers

Line c has an equation of Y=-5x+3 Parallel to line c is line d which passes through the point (2,-6) what is the equation of line d

Answers

Answer:

The equation of line d is

X = -5x + 4

Explanation:

Two lines are parallel when they both have the same slope.

Line c and line d have a common slope of -5.

X = -5x + 4, in particular, passes through the point (2, -6).

Hope this helped. Have an awesome and blessed year!

Help: Whats 8-2x=10?

Answers

Answer:

x=-1

Step-by-step explanation:

8-2x=10

(8-2x)-8=10-8

-2x=2

-2x/-2=2/-2

x=-1

6+z=10
p-5=15
4+m=12

y-4=19
b-17=12
3=d+2

Please Show your Work​

Answers

Answer:

z=4 p=20 m=8 y=23 b=29 d=1

Step-by-step explanation:

You do the reverse to find out what the variable(hidden #) is

z because 10-6=4

p because 15+5=20

m because 12-4=8

y because 19+4=23

b because 12+17=29

d because 3-2=1

If this is wrong I'm sorry.

957.75 + 83.86 the sum is

Answers

the sum for this answer would be 1,041.61

Answer:

1,041.61

Simply stack the numbers (lining up the decimals) and add right to left.

find measure of angle A

Answers

Ok done. Thank to me :>

How do I solve this

Answers

Answer:

Step-by-step explanation:

well, I'd just multiply each option out using FOIL

First, Outside, Inside, Last

A) (x + 2√3i)(x - 2√3i)

First                x(x) = x²

Outside          x(- 2√3i) =  - 2x√3i

Inside             x(2√3i)   =    2x√3i

last            (- 2√3i)(2√3i) = -(2²)(√3²)(i²) = -4(3)(-1) = 12

add them all up  x² + 12      looks like it works for me

B) = x² + 36

C) = x² + 4√3 + 12

D) = x² - 12

Using substitution, evaluate the expression b-a, if a = -14 and b = -7.
O 21
O -21
-7
7.
Please help

Answers

a = -14
b = -7
b - a
(-7) - (-14)
-7 + 14
7
So the answer is 7

Randy jog 3 1/2 miles in 3/4 hours write a common ratio as miles to hours

Answers

Answer:

3.5: 0.75 is the aswee

Step-by-step explanation:

I just turned into improper then decimal

pls give me brainliest

{x|x is an odd integer between -3 and 7}

Answers

Answer:

x={-1,1,3,5}

Step-by-step explanation:

x={-1,1,3,5}

Express in the form
1
:
n
.
Give
n
as a decimal.
14
:
7

Answers

Answer:

n is 0.5

Step-by-step explanation:

Answer:

1:0.5

Step-by-step explanation:

Help help math math math

Answers

Answer:

113

Step-by-step explanation:

The supplement of angle 3 is congruent to 67, because they are corresponding angles. After you subtract the supplement from 180, you should get angle 3

180-67=113

Answer:

∠3 measures 113°

Step-by-step explanation:

These are consecutive interior angles. It's difficult to explain in words because none of the lines are marked in any way, but I marked the angles in the attached image. Because both downward facing lines are parallel, both sets of corresponding red and blue angles are congruent.

∠3 corresponds to the angle supplementary to the 67° angle. Supplementary angles add up to 180°, so ∠3 and 67° also have to add up to 180°. Hopefully my image makes that a little more clear.

[tex]x+67=180\\x=113[/tex]

∠3 measures 113°

28. A student suggests that she can show (-1)(-1) = 1 using the
fact that -(-1) = 1. Is her reasoning correct? If yes, what
result will she apply? If not, why not?

Answers

Answer:

not

Step-by-step explanation:

because negetive plus negative will equal negative and bot positive

if this is multiplication yes it does apply...-1×-1=1

Kyle runs three and one fourth miles in twenty-two and three fourth minutes. He runs each mile in the same number of minutes. How many minutes does it take Kyle to run a mile?

Answers

He runs 3 1/4 miles in 22 3/4 minutes. We can divide 22 3/4 by 3 1/4. Firstly, let’s change these to decimals. This gives us 22.75/3.25

22.75/3.25 is 7. Kyle takes 7 minutes to run a mile.

HELP ME. NO LINKS!! PLEASE

Answers

Answer: 99% sure its b

Step-by-step explanation:

Yea the is B well it should be !!

A wall map of the United States has a distance of 8.5 in. between Memphis and Denver, two cities that are actually 1040 mi apart. The actual distance between St. Louis and Des Moines is 333 mi. How far apart are St. Louis and Des Moines on the map?

Answers

Answer:

2.72 inches

Step-by-step explanation:

1040/8.5=122.35

1 inch on the map = 122.35 miles actual distance

333/122.35=2.72

Solve the system of equations.
y= -6x +9
y= -3x +3
a (3,-2)
b. (-2,3)
C. (2,3)
d. No solution

Answers

Answer:

The answer is supposed to be (2,-3), but for some reason I don't see it as one of the choices.

(Please don't get mad or report this answer, the work is below, so you may see for yourself.)

Step-by-step explanation:

Since y equals both -6x + 9 and -3x + 3, we will simply write them into one equation:

-6x + 9 = -3x + 3

Next we will solve for x by isolating it:

So, first subtract 3 on both sides to get -6x + 6 = -3x. Next add 6x on both sides to get 6 = 3x. Then finally divide by 3 on both sides to get 2 = x or you can flip it to be x = 2.

Now that we know what x is, we can plug it back into one of the original equations. In this case we'll plug it into y = -3x + 3:

y = -3(2) + 3

-3 × 2 = -6 and -6 + 3 = -3

So: y = -3

Now we can plug each into an ordered pair (x,y), and your answer is (2,-3).

As always, don't forget to check your work (It's correct btw, I already checked) and I hope this helps you :)

Answer:

x=2, y=-3. (2, -3).

Step-by-step explanation:

y=-6x+9

y=-3x+3

-----------

-6x+9=-3x+3

-6x-(-3x)+9=3

-6x+3x=3-9

-3x=-6

3x=6

x=6/3

x=2

y=-6(2)+9

y=-12+9=-3

PLS HELP
The expression 46(1 + x) represents the total cost of a meal including the tip. What do the different parts of the expression represent? Match each description to the correct part of the expression.
Question 3 options:

The original price of the meal before tip was added.

The tip percentage written as a decimal.

1.
(1 + x)

2.
x

3.
46

Answers

1 + x = 46 (1+ x) your welcome <3

Pre college need help this

Answers

Mark me as brainlist please

Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values are integers. What's the domain and range for this graph ?

Answers

The domain of the graph is  [tex]-8<x\leq 9.5[/tex] while the range of the graph is [tex]-4\leq x<4[/tex].

The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.

For the graph, the domain will be the values of the graph along the x-axis.

Domain = [tex]-8<x\leq 9.5[/tex] (Note that -8 is not included)

For the range, the interval is given as: [tex]-4\leq x<4[/tex]. Note that the value of 4 is not included since it is opened.

Learn more on domain and range here: https://brainly.com/question/1942755

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