Trigonometric-Identity Problem (Quick Question)

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In summary, there is a discussion about a possible typo in a math problem involving two quadrants, one in an orange circle and one in a green circle. It is mentioned that the answers are the same regardless of whether the point B is in Quadrant I or III. However, it is also questioned if the answers would be different due to the quadrant difference, specifically in the sign for the answer in part (a).
  • #1
MIIF
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Shouldn't the quadrant in the orange circle (or whatever it looks like) match with the quadrant in the green one (i.e., Quadrant I)? Thanks.https://uploads.tapatalk-cdn.com/20180601/f3bb14bdcd0ee44fbf84ed81cf266d40.jpghttps://uploads.tapatalk-cdn.com/20180601/aa252ceb0ebb22a7848051a85b6a9a29.jpg
 
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  • #2
Yes, it looks like a typo. However the answers are the same whether $B$ is in QI or QIII.
 
  • #3
Olinguito said:
Yes, it looks like a typo. However the answers are the same whether $B$ is in QI or QIII.
Yes, perhaps that's the case, but wouldn't the answers be different considering the quadrant difference (e.g., the sign switch for the answer in (a))?https://uploads.tapatalk-cdn.com/20180601/a861c1250b3bd26b068231593e477c43.jpghttps://uploads.tapatalk-cdn.com/20180601/a09baa55d2efcec59dbda1570322f355.jpg
 

Related to Trigonometric-Identity Problem (Quick Question)

What is a trigonometric identity problem?

A trigonometric identity problem is a type of mathematical problem that involves manipulating trigonometric equations to prove or disprove an identity. This often involves using algebraic techniques and knowledge of trigonometric functions to simplify and solve the equations.

Why are trigonometric identity problems important?

Trigonometric identity problems are important because they help us understand the relationships between different trigonometric functions and how they can be manipulated. They also have many practical applications in fields such as engineering, physics, and navigation.

What are some common strategies for solving trigonometric identity problems?

Some common strategies for solving trigonometric identity problems include using trigonometric identities, using algebraic techniques such as factoring and substitution, and using basic trigonometric properties such as symmetry and periodicity.

What are some common challenges when solving trigonometric identity problems?

Some common challenges when solving trigonometric identity problems include knowing which identities to use, deciding on the best approach for solving the problem, and carefully managing and simplifying complex equations.

How can I improve my skills in solving trigonometric identity problems?

To improve your skills in solving trigonometric identity problems, it is important to have a strong understanding of basic trigonometric functions and identities. Practice regularly with different types of problems, and seek help from teachers or online resources when needed.

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