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
Objective#1: Find the value of the six trigonometric functions. Objective #2: Find the value of the six trigonometric functions of an angle in standard position given a point on its terminal side. The Unit Circle 9 A unit circle is a circle with radius 1 and center (0,0). 9 The unit circle can be used to evaluate many trig values without the use of a calculator. 9 In the unit circle, o sin θ = o cos θ = o tan θ = o csc θ = o sec θ = o cot θ = Using Special Right Triangles and Reference Angles to Evaluate Trig Functions 9 Rewrite the function in terms of it’s reference angle o Make sure you include the correct sign of your answers. All (QI) Students (QII) Take (QIII) Calculus (QIV) 9 Use your 30-60-90 or 45-45-90 to write a ratio for the trig function. Examples: Find the exact value of each trig function. 1. tan ( 225° ) 2. sec ( −90° ) 3. sin 300° 4. cot(−30°) 5. csc ( −180 ) ° 6. cos 315° Example: 7. Find the values of the six trigonometric functions for angle θ in standard position if the point ( −6,6 ) lies on its terminal side. Example: 8. Find the remaining five trigonometric functions in simplest radical form if 1 cos θ = − and 90° < θ < 180° . 5