Need Help With Trigonometry? Let Us Point You In The Right Direction!

AI Thread Summary
The discussion revolves around a user seeking help with specific trigonometry problems from their textbook. Key topics include identifying trigonometric identities, comparing the sine of 5pi/3 with given values, and determining the quadrants where the tangent function is positive or negative. The user also inquires about the possible values of x for the equation x = arctan(-sqrt(3)). Participants are encouraged to provide guidance on these concepts to aid in understanding the material. Overall, the focus is on clarifying trigonometric principles and problem-solving strategies.
majormuss
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Homework Statement


Hi, I scanned some few questions from my Trigonometry book that were giving me giving me problems. I tried them but I could not understand what they were asking for..
Please point me in the right direction and I will do the rest.

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majormuss said:

Homework Statement


Hi, I scanned some few questions from my Trigonometry book that were giving me giving me problems. I tried them but I could not understand what they were asking for..
Please point me in the right direction and I will do the rest.
26) What identities do you know?
5) Compare sin(5pi/3) with each of the 4 given values. As the problem is written, I see that two of the values are equal.
14) Which quadrants is the tangent function positive in? Negative in?
3) x = arctan(-sqrt(3)) <==> -sqrt(3) = tan(x). Which quadrants could x be in? What values of x give tan(x) = -sqrt(3)?
 
I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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