State the exact values of all the trigonometric rations for theta.

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Homework Help Overview

The discussion revolves around determining the exact values of trigonometric ratios for an angle theta, given a terminal point P(-5,-2) in standard position. The context involves understanding the relationships between the coordinates and the trigonometric functions.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the calculation of tangent and cotangent based on the coordinates provided, questioning the signs of these ratios. There are inquiries about the quadrants where these functions are positive or negative, and some participants express confusion over the rules governing these signs.

Discussion Status

The discussion is active, with participants providing feedback on each other's reasoning and calculations. There is a mix of attempts to clarify the signs of the trigonometric functions and to understand the underlying concepts. Some participants express frustration, indicating that the conversation has not reached a consensus or resolution.

Contextual Notes

There are indications of miscommunication regarding the signs of the trigonometric functions and the quadrant rules, with references to external texts and mnemonic devices like "CAST" being mentioned but not fully explained. The discussion reflects a need for clarity on these foundational concepts.

Giu1iano
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Homework Statement


P(-5,-2) is a terminal point of angle theta in standard position. State the exact values of all the trigonometric rations for theta.

Homework Equations


x^2+y^2=r^2
csc=1/sin
sec=1/cos
cot=1/tan

The Attempt at a Solution


WIN_20170225_15_39_57_Pro.jpg
 
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Giu1iano said:

Homework Statement


P(-5,-2) is a terminal point of angle theta in standard position. State the exact values of all the trigonometric rations for theta.

Homework Equations


x^2+y^2=r^2
csc=1/sin
sec=1/cos
cot=1/tan

The Attempt at a Solution


View attachment 113737

Your image is unreadable. Please type out your solution.
 
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Likes   Reactions: Giu1iano
1488061120576.jpeg
 
Check your signs on the tan and cot.
 
Tan is y/x and Cot is x/y.. what's wrong with it?
 
In what quadrants are tan and cot positive vs negative?
 
1 and 3
 
LCKurtz said:
In what quadrants are tan and cot positive vs negative?
Pos in quadrant 1 neg in quadrant 3
 
Wrong. Look in your text.
 
  • #10
LCKurtz said:
Wrong. Look in your text.
Explain. I learn "CAST" to help remember that but first you explain
 
  • #11
I don't know or care what CAST is, but whatever it is you would do better to just understand the signs. What do you get if you calculate ##\tan \theta = \frac{-2}{-5}##?
 
  • #12
Perhaps you can find someone else to help you. I'm done.
 
  • #13
Closed for cleanup
 

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