Simplify the following expressions and match them with their solution.

a. sec^2x -1
b. 1/sinx
c. sinx cotx
d. sin^2x/1+cosx

Answers

Answer 1

Answer:

Following are the solution to the given choices:

Step-by-step explanation:

In point a:

[tex]\to \sec^2x -1 = \tan^2 x[/tex]

In point b:

[tex]\to \frac{1}{\sin x} = cosec x[/tex]

In point c:

[tex]\to \sin x \cot x = \sin x \times \frac{\cos x}{ \sin x}\\[/tex]

                    [tex]= \cos x \\[/tex]

In point d:

[tex]\to \frac{\sin^2 x}{1+ \cos x} = \frac{\sin^2 x}{1+ \cos x} \times \frac{1- \cos x}{ 1- \cos x}[/tex]

               [tex]= \frac{\sin^2 x (1- \cos x)}{1- \cos^2 x}\\\\= \frac{\sin^2 x (1- \cos x)}{\sin^2 x}\\\\= 1-\cos x\\[/tex]


Related Questions

Steve began a baseball card collection by purchasing some cards. He increased the number of cards in the collection by a constant amount each week after that. The table below shows the total number of cards in the collection at the end of several weeks. How many cards did Steve initially purchase to begin his collection

Answers

Answer:95

Step-by-step explanation:

95x3=285

There are 95 cards did Steve initially purchase to begin his collection.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Steve began a baseball card collection by purchasing some cards.

And, He increased the number of cards in the collection by a constant amount each week after that.

Now, In 3 weeks he collect 285 cards.

Hence, Number of cards to collect in initially is,

⇒ 285/3

⇒ 95

Thus, There are 95 cards did Steve initially purchase to begin his collection.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Which ordered pair follows the pattern in the graph?
(2, 4)
(3, 4)
(6, 8)
(6, 9)

Answers

(2,4) it’s easy... sorry if it’s too late

Answer:

The correct answer is (6,9)

Step-by-step explanation:

9. Translate the sentence into an equation and solve. Use x as the variable.
The difference between six times a number and four is equal to fifty.

A. 6(x-4) = 50; x = 9
B. 6x - 4 = 50; x = 9
C. 6 +X-4 = 50; x = 12
D. 6x-4 = 50; x = -9

Answers

Answer:

Option B: 6x-4=50; x=9 is the correct answer.

Step-by-step explanation:

Given that:

x is the variable used for number.

6 times a number means 6x and difference means subtraction.

Thus according to given statement;

6x - 4 = 50

Adding 4 on both sides

6x - 4 + 4 = 50+4

6x = 54

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{54}{6}\\x=9[/tex]

Hence,

Option B: 6x-4=50; x=9 is the correct answer.

HELP ASAP! WILL GIVE BRAINLIEST!

Which statements below are ALWAYS TRUE about Rectangles? Choose ALL THAT APPLY.

- Diagonals are perpendicular

- Diagonals bisect each other in diagonals are equal in length

- Diagonals bisect each other, but they are NOT equal in length

- Opposite sides are congruent

- All four sides are congruent

- Diagonals bisect 90° angles

- Diagonals DO NOT bisect 90° angles

Answers

-diagonals are perpendicular
-diagonals bisect eachother are equal length
-all 4 sides are congruent
-diagonals bisect in 90 degree angles
-Diagonals are perpendicular
-Diagonals bisect each other, are equal in length
-Opposite sides are congruent
-Diagonals bisect 90° angels

I’m sorry if one of these are wrong

M is a directly proportional to r cubed when r=4 M=160
1) work out the value of M when r=2
2) work out the value of r when M=540

Answers

Answer:

1) When r = 2, M = 20.

2) When M  = 540, r = 6.

Step-by-step explanation:

M is a directly proportional to r cubed

This means that the equation for M has the following format:

[tex]M = ar^3[/tex]

In which a is a multiplier.

When r=4 M=160.

We use this to find a. So

[tex]M = ar^3[/tex]

[tex]160 = a(4^3)[/tex]

[tex]64a = 160[/tex]

[tex]a = \frac{160}{64}[/tex]

[tex]a = 2.5[/tex]

So

[tex]M = 2.5r^3[/tex]

1) work out the value of M when r=2

[tex]M = 2.5*2^3 = 2.5*8 = 20[/tex]

When r = 2, M = 20.

2) work out the value of r when M=540

[tex]M = 2.5r^3[/tex]

[tex]540 = 2.5r^3[/tex]

[tex]r^3 = \frac{540}{2.5}[/tex]

[tex]r^3 = 216[/tex]

[tex]r = \sqrt[3]{216}[/tex]

[tex]r = 6[/tex]

When M  = 540, r = 6.

solve for (0)
12
15
Round to the nearest hundredth

Answers

Answer:

.014

Just trust me, you know I have your back

Which of the following describes the pattern in
terms of the sequence?

Answers

Answer: let's try the Second one ( sorry if i get it wrong)

Step-by-step explanation:

Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on. The notation a 1, a 2, a 3,… a n is used to denote the different terms in a sequence. The expression a n is referred to as the general or nth term of the sequence.

Answer:

it is the first one

Step-by-step explanation:

Is (−2,−6) a solution of y<7x+8y?

Answers

Yes it it’s hope this helps

Answer: no

Step-by-step explanation: Khan says no because

Let's plug (−2,−6) into the inequality.

y< 7x +8

(-6) < 7 (-2) +8

-6≮−6

Graph x > -3. Please help soon!!! Thanks!!!!!

Answers

Answer: ok....

Step-by-step explanation:

SECTION B.
7. After 12 years Raghav will be three times as old he was four years ago. Find his present age.

Answers

Answer: Present age = 12 yrs old

Explanation:

Let x be the present age

x + 12 = 3(x - 4)
x + 12 = 3x - 12
x - 3x = -12 - 12
-2x = -24
x = -24/-2
x = 12

A hose fills a hot tub at a rate of 4.68 gallons per minute. How many hours will it take to fill a ​338 gallon hot​ tub?

Answers

Answer:

1 hour and 12 mins and 56 seconds

Step-by-step explanation:

Hope this helps and have a great day!!!

Draw and use algebra tiles to solve the equation.

2x - 3 = 5

Answers

Answer: x=4

Step-by-step explanation: Add 3 to both sides,  Divide both sides by 22

Answer:

x=4

Step-by-step explanation:

2x-3=5

2x-3+3=5+3

2x=8

2x/2=8/2

x=4

The ability to influence another is a function of ______
= Dependency

Answers

Step-by-step explanation:

The ability to influence another is a function of dependency hahahaja

Ms. Neil has 25% of her class who have turned in their reading logs. 7 students have
turned in their logs. Enter the total number of students in her class.

Answers

Answer:28

Step-by-step explanation:

25% × x = 7

Multiplying both sides by 100 and dividing both sides by 25,

we have x=7 x 100/25

7×100÷25

x=28

Need help math question ! 10 points !!

Answers

Answer:

the first choice if correct could i get brainliest?

Step-by-step explanation:

Answer:

The answer is the last option, 5/6.

Write the expression below as a product of two factors 6m +8n + 4

Answers

Answer: 2(3m+4n+2) is the answer

Explanation: because I’m smort;)

For every 2 bricks, 5 paving stones were used to build a backyard patio. James used a total of 120 bricks to complete his patio. Of the paving stones he used, 46% were tan in color while the rest were gray.

How many gray paving stones were used to build the patio?

Answers

Answer:

162

Step-by-step explanation:

... (total paving stones) / bricks = 5 / 2

Multiplying by bricks gives ...

... (total paving stones) = (5/2)·bricks = 5/2·120 = 300

Then the number of gray paving stones is ...

... (gray stones) = (total paving stones) - (tan stones) . . . . tan + gray = total

... = (total paving stones) - 46% · (total paving stones) . . . . tan is 46% of total

... = (100% - 46%)·(total paving stones) = 54% · (total paving stones)

... = 54/100 · 300 . . . . put in the total number of paving stones

... (gray stones) = 162

Answer:

The answer is 162

Step-by-step explanation:

60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity.

18 boys chose biking and 29 boys chose fishing.

The remaining boys did not complete the survey.


Which expression gives the percent of survey participants who chose fishing?

Answers

Answer:

48.3%.

Step-by-step explanation:

To determine the percentage of children in the summer camp who chose fishing as their favorite activity, knowing that there were 29 of 60 children in total who chose that option, the following calculation must be performed:

60 = 100

29 = X

(29 x 100) / 60 = X

2,900 / 60 = X

48.3 = X

Therefore, 48.3% of the children chose fishing as their favorite activity in summer camp.

Answer:

29

--------- ×100

18 + 29  

Step-by-step explanation:

i got it right on ttm <3

In triangle ABC, m∠A = 36°, m∠B = 84°, and m∠C = 60°. The side lengths, in order from greatest to least, are

Answers

Answer:

AC ; AB ; BC

Step-by-step explanation:

Recall that largest angles will oppose largest sides in a triangle, therefore, the angles in order of greatest to smallest are:

<B (84); <C (60);  <A (36)

Their opposite sides will keep the same order from largest to smallest:

AC ; AB ; BC

The side lengths, in order from greatest to least, are

AC

AB

BC

Which is the graph of
y= 1/2x

See picture

PLEASE ONLY COMMENT IF YOU ARE SURE OF THE ANSWER!!!

Answers

Answer:

Option 1

Step-by-step explanation:

Let's look at the slope; 1/2

it's positive, so the line will go from Quadrant III to Quadrant I. That means that Option 3 is out since it goes from Quadrant IV to Quadrant II.

Next; let's look at the steepness of the lines. Slopes that are fractions less than 1 are flatter than slopes that are greater than 1. Since the slope on Option 1 is flatter than Option 2, that means that Option 1 is a number less than 1, while Option 2 is a number greater than 1.

You can stop here, but we can also triple check using the rise/run.

Start from a point, for example (0,0) on Option 1. To get to the next point that's two whole numbers (1,2) we need to go 2 to the right and one up. Since we rose 1, and ran 2, the slope would be 1/2.

If we do the same with Option 2, we'll find that it rises 3 and runs 2. The slope for this line is 3/2.

Hope this helps!

5. Skylar got a manicure for $25. If she plans to
tip 20%, how much is her tip?

Answers

Answer:

$5.00

Step-by-step explanation:

All we have to do is multiply 25 x 1/5 or 20%

25 x 1/5 = $5.00

to check, $5 x 5 = 25

$5.00 would be the tip. (take 25 x 0.2 = 5, therefore 20% of 25 would be 5)


Gregory used a calculator to find the equation h = 1.32t + 1.56, where t is the number of days after the grass was trimmed and h is its height measured in centimeters. Predict the height of the grass after 4 days.
F 1.85 cm
G 6.11 cm
H 6.35 cm
J 6.84 cm

Answers

Answer:

J

Step-by-step explanation:

h = 1.32t + 1.56

Replace t with 4 (days):

h = 1.32(4) + 1.56

Multiply:

h=5.28 + 1.56

Add:

h=6.84

The correct choice is J

*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*

A certain alloy contains 14% tin and 32% copper. (The percentages are by weight.) How many pounds of tin and how many pounds of copper must be melted with 1750 lb of the given alloy to yield a new alloy containing 20% tin and 35% copper? Hint: Introduce variables for the weights of tin and copper to be added to the given alloy. Express the total weight of the new alloy in terms of these variables. The total weight of tin in the new alloy can be computed two ways, giving one equation. Computing the total weight of copper similarly gives a second equation.

Answers

Answer:

The answer is 10 I believe! A whole triangle is equal to 180 degrees so 180-70-60-60= -10. So we have to add 10 to equal it to zero. Hope this helped

Step-by-step explanation:

please help me find the answer

Answers

yes. it’s a constant rate of change. the rate of change is +5 number of people for +75 of the cost.

QUESTION 4 of 10: An entertainment venue has a total advertising budget of $5 million per year. 30% of the budget is spent on social media
and 25% is spent on traditional media. Within the traditional media spending, 15% is spent on print advertising, 50% is spent on TV advertising
and 35% is spent on radio advertising. How much is spent on radio advertising?
ОООО
a) $437,500
b) $525,000
c) $687,500
d) $1,500,000

Answers

Answer:a

Step-by-step explanation:trust me bro

You bought a car that had factory installed tires marked as "P185 75/R14". You bought and installed tires on your car that are marked "P205 75/R14". What is the circumference of the P185 tire?
A) 24.93 inches
B) 27.93 inches
C) 78.31 inches
D) 81.99 inches

Answers

D is the right answer I think

Need Answer Question Is In Photo.

Answers

Answer:

The correct answer would be bill

Step-by-step explanation:

Hope that's right! Hope it helps

Answer:

Chu

Step-by-step explanation:

[tex]\frac{x}{3}+4=7[/tex]    (subtract 4 from both sides (4-4 and 4-7)

[tex]\frac{x}{3}=3\\[/tex]            (multiply both sides by 3)

x=9

If P = 3x2 – x + 2 and Q = x2 + 5x – 6, then P + Q =
Question 3 options:

A)

4x2 – 4x + 4


B)

4x2 + 4x + 4


C)

4x2 + 4x – 4

D)

4x2 – 4x – 4

Answers

Answer:

B)

4x2 + 4x + 4 may be right answer

PLEASE HELP!!! A group has at most $140 to spend on an event space. The inequality 15h + 40 140 represents the cost to rent the space, where ​h ​represents the number of hours the group can rent the space, and 40 represents the set up fee. Solve and graph the inequality to determine the number of hours they can utilie the room.

Answers

9514 1404 393

Answer:

  h ≤ 6 2/3

Step-by-step explanation:

The inequality is presumed to be ...

  15h +40 ≤ 140

  15h ≤ 100

  h ≤ 6 2/3

__

The graph shows h ≥ 0, because the inequality is only reasonable for h ≥ 0.

What is one-third of one-half?

Answers

Answer:

0.16666666666

Step-by-step explanation:

1/3 x 1/2 = 0.16666666666

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