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
Mandarinka [93]
3 years ago
15

How do similar right triangles lead to the definitions of the trigonometric ratios?

Mathematics
1 answer:
zheka24 [161]3 years ago
6 0
The ratio of two sides of one right triangle is the same of the corresponding sides of any its similar triangles.

Call a, b, c the sides of a right triangle and A, B, C the sides of any of its similar triangles.

Then a/b  = A/B, which means that this ratio is a constant.

The same for a/c = A/C, and b/c = B/C.

Even, the same is true for the inverses: b/a = B/A; c/b = C/B, and d/a = C/A.

Then, you can define a function for every one of these ratios. Those functions are the trigonometric functions.


 
You might be interested in
How do you know if a coordinate on a graph is positive or negative?
Annette [7]
Negative Slope<span>. </span>If<span> a line has a </span>positive slope<span> (i.e. m > 0 ), then y always increases when x increases and y always decreases when x decreases. Thus, the </span>graph<span> of the line starts at the bottom left and goes towards the top right. Thus, as x increases by 3 , y decreases by 4 , and as x decreases by 3 , y increases by 4 .

</span>
5 0
3 years ago
Read 2 more answers
Round 0.248 to nearest tenth.
kupik [55]
0.248 rounded to the nearest tenth is 0.2 because 4 comes after and if there is a number after the number that you are rounding that is less than 5, you keep the number and do not change it.
5 0
3 years ago
Read 2 more answers
well, according to y0autube statistics, only a small percentage of people who watch my videos are actually subscribed, so if you
mr_godi [17]
Why. what and why... ahahah
6 0
3 years ago
Read 2 more answers
1
Xelga [282]

Answer:

y = \dfrac{1}{2}x-4

Step-by-step explanation:

<h2>Equation of line in slope y-intercept form:</h2>

       \sf slope = m =\dfrac{1}{2}\\\\Point (2, -3) ; x_1 = 2 \ \& y_1 = -3\\\\\boxed{\bf y - y_1 =m(x -x_1)}

         \sf y - [-3] = \dfrac{1}{2}(x - 2)\\\\y + 3 =  \dfrac{1}{2}x - 2*\dfrac{1}{2}\\\\y + 3 = \dfrac{1}{2}x-1\\\\

                \sf y = \dfrac{1}{2}x - 1 - 3\\\\ y =\dfrac{1}{2}x-4

6 0
2 years ago
Drag each percent to match the situation. Each percent may be used only once.
Svetllana [295]

Answer:

1:80%

2:95%

3:15%

4:33 1/2%

7 0
3 years ago
Other questions:
  • Will mark bianleast 10 ponits
    9·1 answer
  • This is worth 4 marks
    5·1 answer
  • The sum of y and two, all divided by five
    7·1 answer
  • The rectangular backboard of a basketball court needs to be assembled. Its area is given as 18,900 cm2 and the width as 1.8 m.
    9·1 answer
  • Write a polynomial function in standard form for the given set of roots.
    14·1 answer
  • What is 3 /8 times 4/7 in simplest form
    12·1 answer
  • What is the right angle postulate? Definition and how to use it
    5·1 answer
  • A quarter cone has a diameter of 16 and a height of 10. What is the approximate volume of the quarter cone? Round to the nearest
    7·1 answer
  • Amy walks from point A to point B along the segment AB. Fraser walks from point A to point C along the segment AC. Which stateme
    12·1 answer
  • Round 69,593 to the nearest thousand.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!