We all have our answers we are just wondering who is right I’m in a study group ### Trigonometric Ratios in a Right Triangle**Problem:**Use the image to answer the following question. Find the value of sin \( x^\circ \) and cos \( y^\circ \). What relationship do the ratios of sin \( x^\circ \) and cos \( y^\circ \) share?**Diagram:**A right-angled triangle is provided with:- One leg measuring 3 units,- The other leg measuring 4 units,- Hypotenuse is the side opposite the right angle, but its length is not given.**Solution:**To solve for the sine and cosine values, we first need to determine the length of the hypotenuse. Using the Pythagorean Theorem:\[ \text{Hypotenuse}^2 = 3^2 + 4^2 \]\[ \text{Hypotenuse}^2 = 9 + 16 \]\[ \text{Hypotenuse}^2 = 25 \]\[ \text{Hypotenuse} = 5 \]With the hypotenuse known, we can now find the trigonometric values:1. **sin \( x^\circ \)**\[ \sin x^\circ = \frac{\text{Opposite to } x^\circ}{\text{Hypotenuse}} = \frac{3}{5} \]2. **cos \( y^\circ \)**\[ \cos y^\circ = \frac{\text{Adjacent to } y^\circ}{\text{Hypotenuse}} = \frac{4}{5} \]**Relationship:**Notice that:\[ \sin x^\circ = \cos y^\circ \]This is because \( x \) and \( y \) are complementary angles in a right triangle, meaning:\[ x + y = 90^\circ \]Therefore, in any right triangle, the sine of one acute angle is equal to the cosine of its complement.

Name: We all have our answers we are just wondering who is right I’m in a st
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: We all have our answers we are just wondering who is right I’m in a study group ### Trigonometric Ratios in a Right Triangle**Problem:**Use the image to answer the following question. Find the value of sin \( x^\circ \) and cos \( y^\circ \). What re

The triangle is given . Name the given traingle as ABC. The main objective is to evaluate the…

Answered: Use the image to answer the following…

Math

Geometry

Use the image to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of sin x° and cos y° share?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Similar questions

Please make answer easy to read
How can we solve?
Lilo wants to know if equal proportions of students in her class know how to surf well, know how to surf a little or do not know how to surf. She randomly samples 60 students in her class and asks them if they know how to surf. Twenty students indicate that they do not know how to surf 'don't know', while 30 students indicate they know how to surf well 'know well,' and 10 students indicate they know how to surf ‘a little’. State the hypothesis being tested by Lilo (H0 and HA)? Test Lilo's hypothesis at α of .05. Enter the test statistic, critical value, and decision as part of your answer. Test statistic = Critical value = Do you reject or retain the null hypothesis that the slope is not different from zero? (Enter "Reject" or "Retain"):
A survey was conducted in a section on which subject they like best. 55 likes Math, 50 likes English, 51 likes Science, 32 likes Mathematics and English, 28 likes Mathematics and Science, 25 likes English and Science and 10 likes Mathematics, English and Science. How many were there in the section?
Solve this question please and explain your answer
A political action committee is interested in the proportion of all registered voters who will vote "Yes" on a measure to expand the use of solar energy. Match the vocabulary word with its corresponding example. The 1000 registered voters who participated in the study The list of Yes and No answers that were given by the 1000 participants in the study Yes or No for each registered voter The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure All registered voters in the US The proportion of registered voters who will vote Yes on the measure a. Population b. Variable c. Data d. Sample e. Statistic f. Parameter
Could you please answer number 3 and number 4?
I'm having trouble with this one
The Minnesota Twins have scored the following number of runs: 4, 3, 2, 2, 2, 12, 0, 3, 4, 1. Find the MODE of runs they have scored. >>>Your calculator wilI NOT help you find the answer for MODE.<<<< No Mode O 3.3 2 2.5
please solve fast in text format...should be in well formatted ...handwritten solution not allowed ...dont use chat gpt
A survey of 1687 adults nationwide asked, "What irks you most about the actions of other motorists?" The response "tailgaters" was given by 483 people. What percent of those surveyed were most irked by tailgaters?
A test requires that you answer either part A or part B. Part A consists of 6 true-false questions, and part B consists of 4 multiple-choice questions with one correct answer out of four. How many different completed answer sheets are possible?