What is the reference number given -5π/6?

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Therefore, the reference number for -5π/6 is π/6 and the reference angle is also π/6. To find the coterminal angle, add or subtract 2π or 360 degrees to the given angle until it falls within the range of 0 to 2π or 0 to 360 degrees. Therefore, the coterminal angle for -5π/6 is 7π/6. In summary, the reference number for -5π/6 is π/6, the reference angle is π/6, and the coterminal angle is 7π/6.
  • #1
mathdad
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Given -5π/6, find the reference number.

Let r = reference number

I decided to graph -5π/6.

r = -π - (-5π/6)

r = -π + 5π/6

r = -π/6

Book's answer for r is π/6.
 
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  • #2
RTCNTC said:
Given -5π/6, find the reference number.

Let r = reference number

I decided to graph -5π/6.

r = -π - (-5π/6)

r = -π + 5π/6

r = -π/6

Book's answer for r is π/6.

1. Determine the positive angle that is coterminal with the given angle ...

$-\dfrac{5\pi}{6} + 2\pi = \dfrac{7\pi}{6}$

2. Since $\dfrac{7\pi}{6}$ is in quad III, its reference angle is $\dfrac{7\pi}{6} - \pi = \dfrac{\pi}{6}$
 
  • #3
Is there an algebraic method for finding the reference number, reference angle and coterminal angle?
 
  • #4
RTCNTC said:
Is there an algebraic method for finding the reference number, reference angle and coterminal angle?

don't know what you mean by a reference "number" ... never heard of it

a reference angle is the positive acute angle formed by an angle in standard position and the x-axis

two angles are coterminal if their terminal sides coincide ... they differ by an integer multiple of 360 degrees or 2pi radians
 
  • #5
The author of the textbook said that "reference angle" is typically used when referring to degrees and "reference number" when referring to radian.
 

Related to What is the reference number given -5π/6?

What is a reference number?

A reference number is a unique combination of letters and/or numbers that is assigned to a particular document or transaction. It is used to identify and track the document or transaction, and may also be used for record-keeping and reference purposes.

Where can I find the reference number?

The location of the reference number will vary depending on the type of document or transaction. It is usually included on the document itself, such as at the top or bottom of the page. For online transactions, the reference number may be provided in a confirmation email or on the website after completing the transaction.

Do all documents and transactions have reference numbers?

No, not all documents and transactions have reference numbers. Some may only have a date or a unique identifier, while others may have a reference number as well. It depends on the purpose and system used for tracking and identifying the document or transaction.

Can a reference number be reused?

In most cases, a reference number is unique and cannot be reused for another document or transaction. This ensures that each document or transaction has its own distinct identifier for tracking and reference purposes. However, in some systems, reference numbers may be reused after a certain period of time.

Why is a reference number important?

A reference number is important because it helps to identify and track a specific document or transaction. It can also be used for record-keeping, referencing, and resolving any issues or discrepancies that may arise. Without a reference number, it would be difficult to keep track of multiple documents or transactions and their status.

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