MAT135H1 Lecture Notes - Lecture 3: Pythagorean Theorem

• School: UTSG
• Department: Mathematics
• Course: MAT135H1
• Professor: Dimitri Chouchkov

Document Summary

Read sections 1. 1 -1. 5, appendix d from the textbook. Let ( , ) be a point on the circle of radius r associated with angle . All angles will be in radians, unless specified otherwise. The length of the arc subtended by the angle. For example, the arc of the circle using the coordinates from ( r , 0) to ( , ) corresponds to r . Associate a circle with a radius r at the origin (0,0) and an angle (in radians) in standard position. If ( , ) is a point that exists on the circle, then treat it as 2 + 2 = r 2 ; the pythagorean. Sin( a + b ) = sin( a )cos( b ) + cos( a )sin( b ) Cos( a + b ) = cos( a )cos( b ) - sin( a )sin( b ) Sin 2 = 1 - cos2 / 2.