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

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SUMMARY

This discussion focuses on specific trigonometric problems, including the evaluation of identities, comparison of sine values, and understanding the behavior of the tangent function across quadrants. Key questions include identifying the quadrants where tangent is positive and negative, as well as solving for angles using the arctangent function. Participants seek clarity on these concepts to enhance their understanding of trigonometry.

PREREQUISITES
  • Understanding of basic trigonometric functions (sine, cosine, tangent)
  • Familiarity with trigonometric identities
  • Knowledge of the unit circle and angle measurements in radians
  • Ability to solve equations involving inverse trigonometric functions
NEXT STEPS
  • Study trigonometric identities, focusing on Pythagorean and reciprocal identities
  • Learn how to evaluate sine and cosine values for angles in different quadrants
  • Explore the properties of the tangent function and its behavior in various quadrants
  • Practice solving equations using inverse trigonometric functions, particularly arctan
USEFUL FOR

Students studying trigonometry, educators teaching trigonometric concepts, and anyone seeking to improve their problem-solving skills in trigonometric equations.

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.

Homework Equations





The Attempt at a Solution

 

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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)?
 

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