Solving Trig Equations UNIT CIRCLE APPROACH TO TRIGONOMETRIC
- Slides: 13
Solving Trig Equations
UNIT CIRCLE APPROACH TO TRIGONOMETRIC FUNCTIONS Learn how to determine the values of sines and cosines of angles. Associating these angles with others in different quadrants of the trigonometric circle. Establish the relationship between the trigonometric ratios on the right angle triangle 30° 45° 60° 120° 135° 150° sin 1/2 0. 71 0. 87 0. 71 1/2 cos 0. 87 0. 71 1/2 -0. 71 -0. 87
Unit Circle. Forming Trig Graphs http: //www. analyzemath. com/unitcircle. html The Graphs of Sin, Cos and Tan The graphs show the value of sinø, cosø and tanø against ø (ø represents an angle). From the sin graph we can see that sinø = 0 when ø = 0 degrees, 180 degrees and 360 degrees.
Plot on the circle the extremities of some different arcs. 30°, , 240° and.
The unit circle and its coordinates
Combine the coordinates of the plotted points and the angles on the graph. 90° (or p/2 rad) is related to the point (0, 1) so, cosine of 90° is equal to zero and sine of 90° is equals to one; the concept of trigonometric "cycle" instead of just "circle" shows that we can obtain an infinite number of angles greater than 360°;
The measurement of the height can be found by using the Pythagorean theorem and the same triangle can be used to find sine and cosine of 60°.
45 and 60 degrees 1. 1 2. √ 2 1 √ 3 2 1
n Unit circle and trig graph (All Stations To Crew) http: //www. youtube. com/watch? v=7 Ccxp. Bhd. YFQ n How to solve sin = +ve value n http: //www. youtube. com/watch? v=ZYi. Iqf. Er. CBA n How to solve sin = -ve value n http: //www. youtube. com/watch? v=ij. Iw 4 d. FN 89 w&feature=related n How to solve tan = -ve value n http: //www. youtube. com/watch? v=Zq. It. Zlf 9 UX 0&feature=related n How to solve 2 cos x – 1 = 0 n http: //www. youtube. com/watch? v=IE 0 Fx. Gegd. Mg&feature=related n n Solving sin 2σ = ½ What are trig graphs for? http: //www. youtube. com/watch? v=FUMp. Gu. LIQ 5 M&feature=related
Unit circle and trig graph (All Stations To Crew) S A T C
Practice exercises Theta Mathematics page 254 exercise 24. 4 n Rearranging Simple Trig