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Angelica and Graciella are working togetner to find the sine and cOsine of 3 ZA for AABC. They are given that tan A В A © 2019 StrongMind. Created using GeoGebra. Angelica says the tangent is the ratio of the length of the leg opposite LA over the length of the leg adjacent to LA, This means BC must have a length of 3 units and AC must have a length of 4 units. They can find the length of AB using the Pythagorean Theorem and then use it to find the sine and cosine ratios. Graciella says that they cannot find the length of any side of the triangle and, therefore, cannot find the ratios for sine and cosine.

Angelica and Graciella are working togetner to find the sine and cOsine of 3 ZA for AABC. They are given that tan A В A © 2019 StrongMind. Created using GeoGebra. Angelica says the tangent is the ratio of the length of the leg opposite LA over the length of the leg adjacent to LA, This means BC must have a length of 3 units and AC must have a length of 4 units. They can find the length of AB using the Pythagorean Theorem and then use it to find the sine and cosine ratios. Graciella says that they cannot find the length of any side of the triangle and, therefore, cannot find the ratios for sine and cosine.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section: Chapter Questions
Problem 1RP: The origins of the sine function are found in the tables of chords for a circle constructed by the...
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Angelica and Graciella are working together to find the sine and cosine of ZA for AABC, They are given that tan A = B © 2019 StrongMind. Created using GeoGebra. Angelica says the tangent is the ratio of the length of the leg opposite ZA over the length of the leg adjacent to ZA, This means BC must have a length of 3 units and AC must have a length of 4 units. They can find the length of AB using the Pythagorean Theorem and then use it to find the sine and cosine ratios. Graciella says that they cannot find the length of any side of the triangle and, therefore, cannot find the ratios for sine and cosine. Both students have errors in their reasoning. 1. Identify the mistake Angelica made in her reasoning. Provide an example that shows why she is incorrect. 2. Identify the mistake that Graciella made in her reasoning. Explain why she is incorrect. 3. Find the ratios for the sine and cosine of ZA. Explain your process. Please number your responses to match the questions (1, 2, and 3).
Transcribed Image Text:Angelica and Graciella are working together to find the sine and cosine of ZA for AABC, They are given that tan A = B © 2019 StrongMind. Created using GeoGebra. Angelica says the tangent is the ratio of the length of the leg opposite ZA over the length of the leg adjacent to ZA, This means BC must have a length of 3 units and AC must have a length of 4 units. They can find the length of AB using the Pythagorean Theorem and then use it to find the sine and cosine ratios. Graciella says that they cannot find the length of any side of the triangle and, therefore, cannot find the ratios for sine and cosine. Both students have errors in their reasoning. 1. Identify the mistake Angelica made in her reasoning. Provide an example that shows why she is incorrect. 2. Identify the mistake that Graciella made in her reasoning. Explain why she is incorrect. 3. Find the ratios for the sine and cosine of ZA. Explain your process. Please number your responses to match the questions (1, 2, and 3).
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