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
Artist 52 [7]
3 years ago
14

En un triángulo rectángulo A es un ángulo agudo y Sen A = 4/5 ¿Cuál será el valor de Tan A?

Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0

Answer:

\displaystyle \tan A=\frac{4}{3}

Step-by-step explanation:

<u>Funciones Trigonométricas</u>

La identidad principal en trigonometría es:

sen^2A+cos^2A=1

Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.

Dado que Sen A = 4/5, calculamos el coseno:

cos^2A=1-sen^2A

Sustituyendo:

\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2

\displaystyle cos^2A=1-\frac{16}{25}

\displaystyle cos^2A=\frac{25-16}{25}

\displaystyle cos^2A=\frac{9}{25}

Tomando raíz cuadrada:

\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}

La tangente se define como:

\displaystyle \tan A=\frac{sen\ A}{cos\ A}

Substituyendo:

\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}

\displaystyle \tan A=\frac{4}{3}

You might be interested in
Evaluate:<br> -1 + 8(-9) -|-3-7
Fiesta28 [93]

Answer:

-63

Step-by-step explanation:

3 0
3 years ago
What is the sum of the matrices shown below?
Georgia [21]

Answer:

\red{ \bold{\begin{bmatrix}  - 4 & 26 & - 5  \\ \\6 &  17& - 8\end{bmatrix} }}

Step-by-step explanation:

\begin{bmatrix} 4 & 19 & - 5\\ \\ 7  & 0 & - 14\end{bmatrix} +  \begin{bmatrix}  -8  & 7 & 0\\ \\  - 1  & 17 & 6\end{bmatrix} \\  \\  = \begin{bmatrix} 4 + ( - 8) & 19 + 7 & - 5 + 0\\ \\ 7 + ( - 1)  & 0  + 17& - 14 + 6\end{bmatrix} \\  \\ = \begin{bmatrix} 4  - 8 & 19 + 7 & - 5 + 0\\ \\ 7  - 1  & 0  + 17& - 14 + 6\end{bmatrix} \\  \\ \purple{ \bold{ = \begin{bmatrix}  - 4 & 26 & - 5  \\ \\6 &  17& - 8\end{bmatrix} }}

7 0
3 years ago
Can someone please help <br> I’ll give brainliest
andrew11 [14]

Answer:

2. a) 0.80a + 1.25c =i

   b) 4 x 0.80 = 3.2

       2 x 1.25 = 2.5

       3.2 + 2.5 = 5.7

<u>4. </u>a) 30

   b) 9

   c) 50

   d) 22.4

8 0
2 years ago
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ i will be very happy if u do. FIRST PERSON TO GET IT CORRECT GETS BRAINLIEST
Vsevolod [243]

Answer:

Step-by-step explanation:

x -12 > 0

x > 12

if x > 12   x-12

if x = 12     0

if x < 12     12-x

8 0
2 years ago
How do you find the rate of change for linear functions<br>I need this asap I really need help
soldier1979 [14.2K]

Answer:

you will have to find the slope in the y= mx+b form.

you can find the slope also by looking at the graph and looking at the rise over run

4 0
3 years ago
Other questions:
  • Mrs lane took a survey of the types of pants her students were wearing. She collected the data of the types of pants her student
    9·1 answer
  • A vehicle has travelled 90 miles at 40mph
    5·1 answer
  • HELP ASAP !!! please
    12·1 answer
  • Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect
    11·1 answer
  • Simplify the expression. (15 + 8)[23 – (10 + 7)]
    15·1 answer
  • Consider the geometric sequence below.
    6·1 answer
  • Somebody please answer this fast!!!<br> Show the answer thanks!
    6·2 answers
  • The graph of a quadratic function having the form f(x) = ax? + bx + c passes
    11·1 answer
  • Help its for a gradeee
    11·1 answer
  • The perimeter of a parallelogram is 60 meters. The width (W) of the parallelogram is 2 meters less than its length (L). Find the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!