Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Notes 4.2 – Unit Circle Pre-Calc. for AP Prep. Date: ______ Goal: To use reference angles and quadrants to develop a feel for trigonometric functions of special and general angles. to connect special right triangles to the unit circle. Before we start evaluating trig. functions without a calculator, we need to recall a few important facts. Identify which trig. functions are positive in which quadrants. All six trig. functions in terms of sides of a right triangle: sin csc cos sec tan cot 30°-60°-90° Triangles 45°-45°-90° Triangles I. Evaluating trigonometric functions without a calculator. Angles with major angles as reference angles. 1. Determine the position (reference angle and quadrant) of the terminal side. 2. Consider the definition of the trigonometric function to find the value of the function. 3. Consider the quadrant when determining whether a trigonometric function is positive or negative. For quadrantal angles we need to remember the following: 2 0 3 2 2 sinx cosx tanx Evaluate the following using the process described above. Leave answers in simple radical form if necessary. 11 4 1) sin(570 ) 2) cos 4) sec(90 ) 5) csc(-270 ) 7) cot 15 6 8) cos 27 6 3) cot 6) sin(-750 ) 9) A similar type of example: 10) Find the value of the other trigonometric functions if: sin 5 , 90 90 13 HW: Unit Circle Practice WS 7 6 sec 11 4