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
Lunna [17]
3 years ago
7

Given the following trigonometric ratio, enumerate the meaning ratio ​

Mathematics
1 answer:
Likurg_2 [28]3 years ago
6 0

Answer:

The trigonometric ratios are presented below:

\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}

\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}

\cot \theta = \frac{BC}{AC}

\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}

\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}

Step-by-step explanation:

From Trigonometry we know the following definitions for each trigonometric ratio:

Sine

\sin \theta = \frac{y}{h} (1)

Cosine

\cos \theta = \frac{x}{h} (2)

Tangent

\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x} (3)

Cotangent

\cot \theta = \frac{\cos \theta}{\sin \theta} = \frac{x}{y} (4)

Secant

\sec \theta = \frac{1}{\cos \theta} = \frac{h}{x} (5)

Cosecant

\csc \theta = \frac{1}{\sin \theta} = \frac{h}{y} (6)

Where:

x - Adjacent leg.

y - Opposite leg.

h - Hypotenuse.

The length of the hypotenuse is determined by the Pythagorean Theorem:

h = \sqrt{x^{2}+y^{2}}

If y = AC and x = BC, then the trigonometric ratios are presented below:

\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}

\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}

\cot \theta = \frac{BC}{AC}

\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}

\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}

You might be interested in
9/4 is between what two numbers
Debora [2.8K]
9/4 is between 2 and 3
3 0
2 years ago
Why might working with n a commission basis make dealing with finances more difficult?
Lady_Fox [76]

Answer: The commission is paid according to sales amounts that are likely to vary from month to month.

Step-by-step explanation: Instead of a salary that is paid in the same amount on a schedule, the commission may be very large one month and very small or zero at other times.

Financial planning usually includes monthly payments that and predictable expenses for food, transportation, utilities, etc. The person who earns a commission must remember to set aside some of the "extra" to cover these expenses. And be prepared to work more or harder at some times to make sales when they don't come easily.

8 0
3 years ago
There are 100 tiles in a word game, and 2 of the tiles are blank. Kiera draws 6 tiles, and none of them are blank.
Kay [80]

Answer:

\frac{1}{47} or around 2%

Step-by-step explanation:

So we need to see how many tiles are left.

100 - 6 = 94

So we have 94 tiles. 2 of them are blank, so the chance of one being blank is:

2 / 94 which is \frac{1}{47}

And that is our answer! Hopefully this helps, have a nice day :D

7 0
3 years ago
There are 4 triangles and 2 circles. What is the simplest ratio of circles to triangles?
Nat2105 [25]

Answer:1:2

Step-by-step explanation:

it is this answer because you have 2 circles for 4 triangles, you can simplify that by dividing each number by 2 and you get 1 and 2

3 0
3 years ago
Read 2 more answers
Round to nearest hundred 64,505
NARA [144]
64,500 would be the answer
7 0
2 years ago
Read 2 more answers
Other questions:
  • Evaluate 7P4<br> Evaluate 12C5
    6·1 answer
  • What is a rational number
    5·1 answer
  • Ana made 12 rainbow loom bracelets in 3 hours. how many can she make in 15 hours
    14·2 answers
  • 3(x - 1) - 8 = 4(1+x) + 5​
    5·2 answers
  • I need help with number 17. i’m confused on how you simplify the first parenthesis
    10·1 answer
  • I really need the answer. will give brainliest!
    9·1 answer
  • In the following proportion, what does x equal? A. 4.6 B. 5.4 C. 6.1 D. 6.8
    12·2 answers
  • Given the line below, state the slope of the PARALLEL line. y=-8x + 10 what is the answer need help.
    5·1 answer
  • 150 pounds to 135 pounds
    6·2 answers
  • If 25 articles cost $43.75 how much does each cost?​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!