Trigonometry: Trigonometric Functions - Angles
This is a free lesson from our course in Trigonometry
 
   
The lesson walks you through the elementary steps that allow evaluating the important trigonometric functions for the common angle values of the first four quadrants. Here you'll learn a simple methodology for producing such evaluations with the help of some examples, practice questions and solution. Let's learn how different quadrants of the coordinate plane and angle relationship are. If x and y axes divide the cartesian plane into four quadrants. For a point (x, y), (More text below video...)
<h2> Trigonometry - Trigonometric Functions - Angles</h2> <p>Trigonometric functions, angles, evaluating, quadrant, point, video, learning, trigonometry help, example, solution, first quadrant, second quadrant, third quadrant, fourth quadrant, Cartesian plane, practice questions, quizzes</p> <p>x and y axes divide the cartesian plane into four regions or quadrants. For a point (x, y), when x > 0 and y > 0, the point lies in quadrant I. When x < 0 and y > 0, the point lies in quadrant II. When x < 0 and y < 0, the point lies in quadrant III , and when x > 0 and y < 0, the point lies in quadrant IV.</p>
Other useful lessons:
Trigonometric functions of any angle
Finding reference angles
(Continued from above)
  • When x > 0 and y > 0, the point lies in quadrant I.
  • When x < 0 and y > 0, the point lies in quadrant II.
  • When x < 0 and y < 0, the point lies in quadrant III , and
  • When x > 0 and y < 0, the point lies in quadrant IV.
In quadrant I all the trigonometric functions are positive, in quadrant II sine is positive, in quadrant III tangent is positive and in quadrant IV cosecant is positive. For example, to find out in which quadrant 185 lies? Place its initial side on the positive side of the x-axis, the position of the terminal side follow in y axis, then the answer is quadrant III. Once you go through the instructor's explanation in the video, it'll be easy for you to understand and do how above trigonometric functions are evaluated.
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