What Does 'pi/2 <t <pi' Mean in Trig Verbiage?

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Homework Help Overview

The discussion revolves around the interpretation of the trigonometric expression "if cos t = -8/17 and pi/2 < t < pi," focusing on understanding the implications of the angle's range in relation to its position in the coordinate plane.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants explore graphical representations of the inequality pi/2 < t < pi and its significance in identifying the angle's position on the coordinate plane, particularly in relation to quadrants.

Discussion Status

Some participants have provided insights into the implications of the angle being in the second quadrant, while others are seeking further clarification on the interpretation of the expression.

Contextual Notes

There is an emphasis on understanding the geometric implications of the angle's range, with references to quadrant identification and the behavior of cosine in those regions.

majinkenji
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Hello,

In a trig verbiage such as "if cos t = -8/17 and pi/2 <t <pi" could someone please provide an alternate way of interpreting "and pi/2 <1 <pi"? I don't understand what is trying to be said with this portion. Any alternate interpretations would be wonderful.

Thank you for your support.

Best Wish,
mk
 
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try drawing the expression [itex]\frac{\pi}{2} < t[/itex] graphically and reevaluating the problem.
 
Pythagorean said:
try drawing the expression [itex]\frac{\pi}{2} < t[/itex] graphically and reevaluating the problem.

Hello Pythagorean,

Is it basically just identifying its position on a coordinate plane? i.e. Q2 in this case?

Regards,

mk
 
majinkenji said:
Hello Pythagorean,

Is it basically just identifying its position on a coordinate plane? i.e. Q2 in this case?

Regards,

mk

Yes, it means that the angle t is in the second quadrant.

ehild
 
I would say confining the solution to Q2, but yes.
 
Got it, thank you very much.

Regards,
mk
 

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