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

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The discussion focuses on interpreting the trigonometric expression "pi/2 < t < pi," which indicates that the angle t is located in the second quadrant of the unit circle. Participants suggest visualizing the expression graphically to better understand its implications. The second quadrant is confirmed as the correct interpretation, where cosine values are negative. This understanding helps clarify the position of the angle in relation to the coordinate plane. Overall, the conversation emphasizes the importance of quadrant identification in trigonometric contexts.
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 \frac{\pi}{2} &lt; t graphically and reevaluating the problem.
 
Pythagorean said:
try drawing the expression \frac{\pi}{2} &lt; t 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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