![]() This work is licensed under a Creative Commons Attribution 4.0 International License. ![]() Sin α a = sin β b = sin γ c a sin α = b sin β = c sin γĪ 2 = b 2 + c 2 − 2 b c cos α b 2 = a 2 + c 2 − 2 a c cos β c 2 = a 2 + b 2 − 2 a b cos γ Sin α 2 = ± 1 − cos α 2 cos α 2 = ± 1 + cos α 2 tan α 2 = ± 1 − cos α 1 + cos α tan α 2 = sin α 1 + cos α tan α 2 = 1 − cos α sin α Want more than just one video example Our full lesson includes in-depth video expl. ![]() Tan t = sin t cos t sec t = 1 cos t csc t = 1 sin t cot t = 1 tan t = cos t sin tĬos ( α + β ) = cos α cos β − sin α sin β cos ( α − β ) = cos α cos β + sin α sin β sin ( α + β ) = sin α cos β + cos α sin β sin ( α − β ) = sin α cos β − cos α sin β tan ( α + β ) = tan α + tan β 1 − tan α tan β tan ( α − β ) = tan α − tan β 1 + tan α tan β Full explanation of what to expect from ’s Precalculus class. Trigonometric Identities Pythagorean IdentitiesĬos 2 t + sin 2 t = 1 1 + tan 2 t = sec 2 t 1 + cot 2 t = csc 2 tĬos (− t ) = cos t sec (− t ) = sec t sin (− t ) = − sin t tan (− t ) = − tan t csc (− t ) = − csc t cot (− t ) = − cot tĬos t = sin ( π 2 − t ) sin t = cos ( π 2 − t ) tan t = cot ( π 2 − t ) cot t = tan ( π 2 − t ) sec t = csc ( π 2 − t ) csc t = sec ( π 2 − t ) Notes on the basics on pre calculus is branch of mathematics that covers topics such as algebra, geometry, and trigonometry. Pre-calculus involves graphing, dealing with angles and geometric shapes such as circles and triangles, and finding absolute values. Now, calculus is the study of how things change over time therefore, the goal of precalculus is to equip students to handle rigorous and dynamic concepts by. Work from basic function types and graph their transformations. Basic Functions and Identities Graphs of the Parent Functions Identify challenging areas in algebra and conquer those challenges.
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