Question

Next%C3%B3n%2C+we+are+given+a+series+of+Tri%C3%A1angles+Right%C3%A1angles+%3Cbr%2F%3Ey+in+each+one+of+them+ are+known+2%28two%29+measurements+of+sides.+%3Cbr%2F%3Elet's+determine+all+trigonom%C3%A9tric+ratios.

191

likes
953 views

Answer to a math question Next%C3%B3n%2C+we+are+given+a+series+of+Tri%C3%A1angles+Right%C3%A1angles+%3Cbr%2F%3Ey+in+each+one+of+them+ are+known+2%28two%29+measurements+of+sides.+%3Cbr%2F%3Elet's+determine+all+trigonom%C3%A9tric+ratios.

Expert avatar
Cristian
4.7
115 Answers
Para determinar todas las razones trigonométricas de un triángulo rectángulo, primero necesitamos identificar qué medidas de lados tenemos disponibles: el cateto opuesto (el lado que es perpendicular al ángulo recto) y el cateto adyacente (el lado que forma uno de los ángulos agudos junto al ángulo recto).

A partir de estas medidas, podemos calcular las siguientes razones trigonométricas:

1. El seno del ángulo agudo:
\sin(\theta) = \frac{{\text{{cateto opuesto}}}}{{\text{{hipotenusa}}}}

2. El coseno del ángulo agudo:
\cos(\theta) = \frac{{\text{{cateto adyacente}}}}{{\text{{hipotenusa}}}}

3. La tangente del ángulo agudo:
\tan(\theta) = \frac{{\text{{cateto opuesto}}}}{{\text{{cateto adyacente}}}}

4. La cosecante del ángulo agudo:
\csc(\theta) = \frac{1}{{\sin(\theta)}}

5. La secante del ángulo agudo:
\sec(\theta) = \frac{1}{{\cos(\theta)}}

6. La cotangente del ángulo agudo:
\cot(\theta) = \frac{1}{{\tan(\theta)}}

Recuerda que el ángulo agudo se refiere al ángulo que no es el ángulo recto en el triángulo rectángulo.

En resumen, para determinar las razones trigonométricas de un triángulo rectángulo, necesitamos saber los valores del cateto opuesto y el cateto adyacente. A partir de ahí, podemos calcular el resto de las razones utilizando las fórmulas mencionadas.

\textbf{Respuesta: Las principales razones trigonométricas son el seno, coseno, tangente, cosecante, secante y cotangente del ángulo agudo en el triángulo rectángulo.}

Frequently asked questions (FAQs)
Math Question: In a triangle with sides of length 12, 15, and 20 units, what is the measure of the angle opposite the side of length 20 units?
+
What is the value of x in the equation 3x + 4 = 22?
+
Math question: "What is the probability of rolling a 4 on a fair six-sided die?"
+
New questions in Mathematics
A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.
Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution
𝑦 = ( 𝑥2 − 3) (𝑥3 + 2 𝑥 + 1)
5 squirrels were found to have an average weight of 9.3 ounces with a sample standard deviation is 1.1. Find the 95% confidence interval of the true mean weight
Evaluate limx→∞tan−1(x) using that y=tan−1(x) exactly when x=tan(y) . (Hint: Both tan and tan−1 are continuous!)
The sum of two numbers is 6, and the sum of their squares is 28. Find these numbers exactly
A soft drink machine outputs a mean of 23 ounces per cup. The machines output is normally distributed with a standard deviation of 3 ounces. What is the probability of filling a cup between 26 and 28 ounces round your answer to four decimal places
To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?
"If three wolves catch three rabbits in three hours, how many wolves would it take to catch a hundred rabbits in a hundred hours?" The answer is the number of response units.
determine the polynomial F of degree 2 that interpolates. f at points (0;1) (2;5) (4;6). calculate F(0.8). Note: Using the polynomial expression with difference operator.
The question is using rule 72 determine Kari wants to save 10,000 for a down payment on a house. Illustrate the difference in years it will take her to double her current 5,000 savings based on 6%, 12% and 18% interest rate .
Fill in the P(X-x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -5 ,3 , 4, 5 , and 6.
15.A newly married couple purchased a home with a $123710 down payment. They financed the remaining balance of the home with a mortgage. Their payments were $15395 at the end of every six months for 23 years and the interest rate was 10.6%, compounded semi-annually. How much did they purchase their home for. Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0
The blood types of individuals in society are as follows: A: 30%, B: 25%, AB: 20%, 0: 25%. It is known that the rates of contracting a certain disease according to blood groups are as follows: A: 7%, B: 6%, AB: 7%, 0: 4%. Accordingly, if a person selected by chance is known to have this disease, what is the probability of having blood group O?
Gender and communication : Answer the question ( 1 paragraph is ok) . Please can you write about women? Compared to your other identities, how much of a role does gender play in your life? And has your own sex/gender offered you privileges or disadvantages? How so?
Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years
Solve for z: 2z-6=10z+2
64-6x^2>0
Find the number of liters of water needed to reduce 9 liters of lotion. shave containing 50% alcohol to a lotion containing 30% alcohol.