1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Schach [20]
2 years ago
11

Match each trigonometric function with its Unit Circle definition. Note that Angle A is correctly oriented for the Unit Circle d

efinition, its terminal side intersects the Unit Circle at the point (x, y), and neither x nor y is equal to zero.
1. y
2. x
3. y/x
4. 1/y
5. 1/x
6. x/y

a. sin A
b. csc A
c. tan A
d. sec A
e. cos A
f. cot A

Mathematics
2 answers:
Mashutka [201]2 years ago
7 0

Answer:

The required matching is a-1, b-4, c-3, d-5, e-2, f-6.

Step-by-step explanation:

Unit Circle is circle having radius 1 units and centered at origin.

The terminal side intersects the Unit Circle at the point (x, y), and neither x nor y is equal to zero.

So, perpendicular of triangle is y, base is x and hypotenuse is 1 unit.

It a right angled triangle,

\sin A=\frac{perpendicular}{hypotenuse}\Rightarrow \frac{y}{1}=y

\csc A=\frac{1}{\sin A}=\frac{1}{y}

\tan A=\frac{perpendicular}{base}\Rightarrow \frac{y}{x}

\sec A=\frac{hypotenuse}{base}=\frac{1}{x}

\cos A=\frac{base}{hypotenuse}=\frac{x}{1}=x

\cot A=\frac{1}{\tan A}=\frac{x}{y}

Therefore the required matching is a-1, b-4, c-3, d-5, e-2, f-6.

PtichkaEL [24]2 years ago
4 0
The first diagram below shows a circle with a radius of 1 (unit circle). The circle is drawn on a Cartesian graph with (0,0) as the center of the circle.

From the second diagram, we can determine the value of sin(Θ) = y
and cos(Θ) = x

We can further deduce that
tan(Θ) = \frac{y}{x}
sec(Θ) = \frac{1}{cos(Θ)} = \frac{1}{x}
cosec(Θ) = \frac{1}{sin(Θ)} = \frac{1}{y}
cot(Θ) = \frac{cos(Θ)}{sin(Θ)} = \frac{x}{y}

You might be interested in
Jason likes to collect coins.Jason got 31 coins from his brother,26 coins from his mother as well as 29 coins from mike,however,
ZanzabumX [31]

Jason would has 66 coins in his piggy bank because 31+26+29=86-20=66 Hope I could help!!

5 0
3 years ago
Help please multiply matrix D by matrix E.
aleksandr82 [10.1K]
It's going to be a 3x2. Im assuming its [ 5 10 on the first row, second row would be -2, -4, then the bottom row would be 1, 2] Hope I helped!

3 0
2 years ago
Read 2 more answers
50+ POINTS I NEED HELP
olga nikolaevna [1]

Answer:

<u><em>21 yard line</em></u>

Step-by-step explanation:

Ok we start out on the 20 yard line, we need to add the yards together.

<em>We add the 6 to the 20:</em>

20+6=26

<em>Then we subtract the 8 yards from our new 26:</em>

26-8=18

<em>Then we add the 18 by 3:</em>

18+3=21

Therefore,

<em>The Answer is 21 Yard Line.</em>

Hope I could help, If you need some more assistance ask me!

8 0
3 years ago
Rachel plays a game by rolling two number cubes with sides numbered 1 through 6 to win the game the sum of the numbers facing up
Artist 52 [7]

The probability that Rachel will win the game is: 1/12

Step-by-step explanation:

The number cubes has six sides numbered between 1 to 6. the chances of each number are equally likely

Let S be the sample space

The sample space has 6*6 = 36 outcomes.

Now, Let A be the event that the sum of numbers on both number cubes is 10

A = {(4,6),(5,5), (6,4)

n(A) = 3

P(A)= \frac{n(A)}{n(S)}\\=\frac{3}{36}\\=\frac{1}{12}

The probability that Rachel will win the game is: 1/12

Keywords: Probability, Sample

Learn more about probability at:

  • brainly.com/question/9729310
  • brainly.com/question/9738996

#LearnwithBrainly

7 0
3 years ago
Which list shows all the factor pairs of 42? A. 1 and 42, 2 and 24, 3 and 18, 4 and 13, 6 and 8 B. 1 and 42, 2 and 21, 3 and 14,
kondor19780726 [428]

Answer:

List B

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Write an inequality that describes this graph.
    9·2 answers
  • One third of a birds eggs hatched. If 2 eggs hatched, how many eggs did the bird lay?
    7·2 answers
  • 4a-3a+21+6 in standard form
    8·1 answer
  • phillip watched a beach volleyball game from 1:45 pm to 2:00pm how many degrees did the minute hand turn?
    6·1 answer
  • Okay guys last one for now ill mark brainlest
    5·1 answer
  • Omar throws a softball from a starting height of 8 feet, with an initial velocity of 18 feet per second. Which of the following
    15·2 answers
  • Write the equation of the line in​ slope-intercept form that passes through the points​ (-12, -6) and​ (8, 9).
    6·1 answer
  • Guess the car<br> hint**Uncommon**
    5·1 answer
  • A base angle of an isosceles triangle measures 65° and the vertex can be represented by (x+59) find X ​
    6·1 answer
  • Please help with math problem if do 5 star
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!