MTH 108 Lecture Notes - Lecture 14: Trigonometric Functions, Precalculus

• School: University of Miami
• Department: Mathematics
• Course: MTH 108
• Professor: Lun- Yi Tsai

Document Summary

6. 7 product-to-sum and sum-to-product formulas notes: sterling. Provide a generalization to each of the key terms listed in this section. Sine sin (a) sin ( ) sin (a) sin ( ) = sin (a) cos ( ) sin (a) cos ( ) = Cosine cos (a) sin ( ) cos (a) sin ( ) = cos (a) cos ( ) cos (a) cos ( ) = [cos ( ) cos ( + )] = cos ( ) cos ( + ) [sin ( + ) + sin ( )] = sin ( + ) + sin ( ) [sin ( + ) sin ( )] = sin ( + ) sin ( ) [cos ( + ) + cos ( )] = cos ( + ) + cos ( ) Cotangent cot ( ) tan ( + ) = tan ( ) = tan + tan . 1 tan tan tan tan .