Trigonometry Question: Find the Value of sin(α +2β) When cot (α + β) = 0

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Homework Help Overview

The discussion revolves around finding the value of sin(α + 2β) given that cot(α + β) = 0. The subject area is trigonometry, specifically focusing on the relationships between trigonometric functions.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are examining the implications of cot(α + β) = 0 and its effect on sin(α + 2β). There are attempts to verify the correctness of potential answers by substituting specific values for α and β. Some participants question the validity of the proposed correct answer.

Discussion Status

The discussion is active, with participants sharing their attempts and questioning the correctness of the answers provided. There is a suggestion to verify results through specific angle substitutions, indicating a collaborative effort to clarify the problem.

Contextual Notes

There is a noted absence of formal equations or established methods in the problem statement, which may contribute to the confusion among participants regarding the solution.

mia5
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Homework Statement


If cot (α + β) = 0 then sin(α +2β) is
the options are
a. sin α b. cos α c. sin β d. cos 2β


Homework Equations


There is as such no equation


The Attempt at a Solution


I did try to solve it but I kept arriving at the wrong answer. The correct answer is c. sin β while the answer I keep getting is a. sin α
 
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Maybe you can show us what you have so far, and we can try to find the error.
 
Are you sure that c) is the correct answer? Try with α=60° and β=30°. I think your result is the correct one.

ehild
 
mia5 said:

Homework Statement


If cot (α + β) = 0 then sin(α +2β) is
the options are
a. sin α b. cos α c. sin β d. cos 2β


Homework Equations


There is as such no equation


The Attempt at a Solution


I did try to solve it but I kept arriving at the wrong answer. The correct answer is c. sin β while the answer I keep getting is a. sin α

Your answer (sin α) is correct.
 

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