MAC1147 Lecture 7: 7.1 Identities: Pythagorean and Sum and Difference Notes

• School: Miami Dade College
• Department: Mathematics: Calculus & Pre-Calculus
• Course: MAC1147
• Professor: Kos

Document Summary

7. 1 identities: pythagorean and sum and di erence notes: sterling. Provide a generalization to each of the key terms listed in this section. What are the basic identities? sin (x) = cos (x) = 1 csc (x) = sec (x) = sin (x) What are the basic (negative) identities? sin ( x) = sin (x) cos ( x) = cos (x) tan ( x) = tan (x) csc ( x) = csc (x) sec ( x) = sec (x) cot ( x) = cot (x) What are the basic identities by using radians? sin = cos(cid:16) . (cid:17) = cos = sin(cid:16) . 1 sec tan = sin cos . 1 cot csc = sec(cid:16) . (cid:17) = sec = csc(cid:16) . 1 cos cot = cos sin . P ythagorean sin2 (x) + cos2 (x) = 1. Equivalent sin2 (x) = 1 cos2 (x) cos2 (x) = 1 sin2 (x)