Mathematics High School

Simplify the following trigonometric expression. cosθtan²θcotθ

Answers

Answer 1

This question requires the understanding of trigonometric identities. I'll list the ones that are needed to answer this question:

cotθ = 1 / tanθ

tanθ = sinθ / cosθ

Look at the latter identity. We can rewrite it as such:

tanθ * cosθ = sinθ

We are given the expression:

cosθ * tan²θ * cotθ

Referring to the first trigonometric identity above, substitute cotθ:

cosθ * tan²θ * (1 / tanθ)

Multiply tan²θ and the fraction:

cosθ * (tan²θ / tanθ)

cosθ * tanθ

Refer to the second trigonometric identity:

cosθ * tanθ

sinθ

cosθ * tan²θ * cotθ = sinθ

If you have any questions about how I got to the answer, feel free to ask

- breezyツ

Related Questions

Can someone answer this

Answers

Answer:

the third one from the top

Step-by-step explanation:

JUHE
Carlos says that the first step to solve this equation is to divide
both sides by -7. Is he correct? Explain.

Answers

The answer is 21 because that’s when I finally touch a goldfish
The correct answer is twenty one

A plane traveled 1092 miles to Riyadh and back. The trip there was with the wind. It took 6
hours. The trip back was into the wind. The trip back took 7 hours. Find the speed of the plane
in still air and the speed of the wind.

Answers

Answer:

Step-by-step explanation:

p and s was are the speeds of the plane and wind, respectively.

Traveling with the wind, the plane moves p+w miles per hour.

p+w = (1092 miles)/(6 hours) = (182 miles)/hour

Traveling against the wind, the plane moves p-w miles per hour.

p-w = (1092 miles)/(7 hours) = (156 miles)/hour

Add the equations together

p+w = 182

p-w = 156

—————-

2p = 338

p = 169 miles per hour

w = p-156 = 13 miles per hour

h(x)=x2 + 6x + 18 need answer for a please explain you’re answer

Answers

B

This is a parabola opening downwards. The term - x^2 tells us that, so we can deduce answer is B.

B because i remember doing this and i got it right

Margo can purchase tile at a store for $0.59 per tile and rent a tile saw for $72. At another store she can
borrow the tile saw for free if she buys tiles there for $1.39 per tile. How many tiles must she buy for the
cost to be the same at both stores?

Answers

2.50 is the answer because if she has 2 then she can get 1

i forgot how to do this plz help

Answers

Answer:

C. 48°

Step-by-step explanation:

The correct answer would be C. 48 degrees

What is the output is 2 less than twice the input.

Answers

Answer:

no

Step-by-step explanation:

at least I don't think so be cause it hard to explain

what is the range of life expectancy chart below

the numbers are 74 76 78 80 82 in that exact order
​

Answers

Answer:

74 76 78 80 82

Step-by-step explanation:

THE IMAGE IT BLURRY!

hurry please!!!!
If tang =
and the terminal point determined by 2 is in quadrant 3, then:
U
4
A. COSA = -
5
U
4
B. cote =
U
C. CSCO =
LOI
U
D. sing =
MILO
SUBMIT

Answers

The answer is B cot

who wants to be in a meet with me?

Answers

hdjdsisjsjsjjsjdjsjsjjsjsjs

Answer: me as long as ur not a 90 year old grandpa behind the screen.

Step-by-step explanation:

help me plss im beeging

Answers

Answer:

1. x = 12

2. x= 9

3.x = 14

4.x=18

Step-by-step explanation:

SOMEONE HELP ME PLEASE PAST DUE!! No websites allowed!

Give me the answer for the blanks

Airplane

Boat

Bike

The clues are at true bottom

Answers

Answer:

Airplane goes 550 mph

Bike goes 9 mph

Ship goes 27 mph

Step-by-step explanation:

The airplane goes 1,925 every 3.5 hours

Divide 1925 by 3.5

1925/3.5 = 550mph

Do the same thing with the bike’s numbers:

45/5 = 9

So 9mph

And again with the ship:

432/16 = 27

It also says its three times as fast as the bike so:

9 x 3 = 27

So the ship goes 27 mph

Students in middle school and high school were surveyed about whether they have taken the SAT. Some of the survey results are listed here.

37% of middle school students have taken the SAT.
4% of high school students have not taken the SAT.

This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.

Answers

It’s a virus don’t believe it

in a right triangle, if sin(theta)= 8/17, what is tan (theta)?

Answers

sin θ = perpendicular/ hypotenuse

tan θ = perpendicular/base

By applying Pythagoras theorem, you get the base as 15

So, your answer is 8/15

1. Find the probability that you will roll a six and then a five when you roll a die twice
2. A bag contains 3 red, 4 blue, and 6 yellow marbles. One Marble is selected at a time, and once a marble is selected, it is replaced, find each probability.

Answers

1/36 for the first need the questions for the second

GIVING BRAINLIEST!!!!!!PLS HELP! I DONT UNDERSTAND THISSS :((

Explain the coordinate values of the new point, Carter, in relation to the origin.

Answers

Answer:

The origin is where the x-axis and the x-axis equal zero. Carter is 15 points up from the origin on the y-axis and 3 points to the right from the origin on the x-axis.

Answer:

Your chart is wrong.. Why? (Look down there!)

Step-by-step explanation:

I have the same assignment too and you've put "Carter" In the wrong area so if you get your points deducted that's why. Also btw here is the correct answer

Coordinates : 7, 15

Also.. Your Welcome! :)

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Can you help me match each figure with the appropriate angle pair relationship

Answers

Answer:

co interior angle plz take my and

Answer:

1) Alternate exterior

2) alternate interior

3) consecutive interior angles

Alright so here’s a trick

Alternate already means different sides so look for that.

Interior angles are all the angles inside the two parllel lines.

Exterior angles are all angles out side the two parralel lines.

No matter what if its alternative interior or exterior, it should make a perfect

“/“ or back slash.

Consecutive is on the same side.

Corresponing is also on the same side but it has 1 exterior and 1 interior

Find the median and mean of the data set below:
48, 50, 38, 4, 8, 46, 23

Answers

Answer:

the median is 38 and the mean is 31

Step-by-step explanation:

Answer:

Mean: 31, Median: 38

Step-by-step explanation:

Mean: 48 + 50 + 38 + 4 + 8 + 46 + 23 = 217 divided by 7 (the amount of numbers) = 31

Median: 4, 8, 23, 38, 46, 48, 50 (The middle number of the numbers in order from least to greatest)

(Please correct me if I'm wrong)

Identify the lobe of the brain that is highlighted.
a) frontal
b) temporal
c) occipital
d) parietal

Answers

Don’t go to That link but I think it is d

The lobe of the brain that is highlighted is Temporal Lobes.

Therefore, The correct option is B.

Temporal Lobes of the brain =

The temporal lobes are a region of the brain located on the sides of the head, beneath the lateral fissure, which separates them from the frontal and parietal lobes.

They are part of the cerebral cortex and play a crucial role in various cognitive functions and sensory processing.

Here are some key features and functions associated with the temporal lobes:

MemoryUnderstanding Language (Receptive Language)SequencingHearingOrganization

Hence the correct option is B.

Learn more about Brain lobes click;

https://brainly.com/question/29763788

#SPJ2

You get a brand new car for your 16th birthday, valued at $25,875. Each year you
own the car it decreases in value by 15%. How much will the car be worth when you
turn 21?

Answers

Answer: $25,875 - 15% = 21 993.75  0r $25,875 + 15% = 29 756.25

Step-by-step explanation:

Lawrence has a paperweight in the shape of a triangular prism. The prism is filled with sand and has a volume of 84 cm3. If the paperweight’s area of the base, B, is 12 cm2, what is the height of the triangular prism?

A. 7 cm
B. 28 cm
C. 24 cm
D. 6 cm

Answers

Answer:

H=7cm

Step-by-step explanation:

If volume is: V=B*H then H= V:B

So, you get:

H= 84:12

H=7cm

11. Choose the appropriate graph for the equation below using slope-intercept form. y = -3x + 8 (multiple choice)​

Answers

Option 4, the root (8/3,0) the vertical intercept is (0,8)

Alguien me ayuda por favor :(.

Answers

Answer:1.) -62.) 533.) -111

HELP ME PLSS WILL MARK BRAINLEST IF CORRECT

Answers

Answer:

19 inches

Step-by-step explanation:

Answer:

38 inches

Step-by-step explanation:

A recipe requires 1/2 cup of sugar for every batch of cakes. How batches of cakes can be made with 5 1/2 cups of sugar?

Answers

Answer:

11

Step-by-step explanation:

5.5/.5 = 11

11 batches can be made

Can someone pls help I will give you the crown

Answers

Answer:

i think b

Step-by-step explanation:

The visual representation below is used to show the relationship between sets of real numbers. Which of the following values would
not be included in set "C"?

Answers

Answer:it’s -12.35

Step-by-step explanation:

Simplify.


[tex]\sqrt{25}[/tex] fastt plss

Answers

Answer:

[tex]\sqrt{25} = 5[/tex]

Answer:

The answer is 5

Step-by-step explanation:

5 × 5 is 25, so the square root is going to be 5.

How do you solve an equation with Y MX B when Y equals a number? Example:
-3y=-6x-9

Answers

What are you trying to find ?

2. Find the area of the trapezoid.

A. 44^3 ft
B. 52^3 ft
C. 44^3 - 24ft
D. 60^3 ft

Answers

Answer:

i think the answer is b i hope it helps

Step-by-step explanation:

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