MATH137 Final: FormulaSheet-2

• School: University of Waterloo
• Department: Mathematics
• Course: MATH137
• Professor: Catherine Briggs

Document Summary

Trigonometric identities sin2 a + cos2 a = 1 sin 2a = 2 sin a cos a cos 2a = cos2 a sin2 a tan 2a = 1 tan2 a sin a cos b = 1 sin a sin b = 1 cos a cos b = 1. 2 [sin(a + b) + sin(a b)] 2 [ cos(a + b) + cos(a b)] 1 tan a tan b tan a tan b. 1 + tan a tan b tan(a b) = X i=1 c = cn i = n(n + 1) X i=1 i2 = n(n + 1)(2n + 1)