Calculus 1000A/B Lecture Notes - Lecture 2: Circular Sector, Central Angle, Inverse Function

• School: Western University
• Department: Calculus
• Course: Calculus 1000A/B
• Professor: Pei Yu

Document Summary

Calculus 1000a, section 008, sept. 12: please remember to review the course outline in resources on owl, the common math. dept help centre should be open as of mon. 18th: mtuwthf 2:30-6:30pm, mc 106 (to be con rmed: rst online quiz (on owl) will be open tomorrow, today: appendix d, section 1. 5 (continued) f (x) = sin x f (x) = cos x f (x) = tan x. If a circle has radius 10 cm, nd the length of the arc subtended by a central angle of 72 . Full circumference = 2 10 cm = 20 cm. Find the radius of a circular sector with angle 3 . Find the radius r of a circular sector with angle 3 . Using the l = r formula: r = l. Just use this! arc length = radius * angle (in rads) Prove the identity: (sin x + cos x)2 = 1 + sin(2x)