PreCalculus - Lecture Notes on Precalculus Dr. Eleftherios...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Lecture Notes on Precalculus Dr. Eleftherios Gkioulekas
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Copyright c ± 2010 Eleftherios Gkioulekas. All rights reserved. Permission is granted to make and distribute verbatim copies of this document provided the copyright notice and this permission notice are preserved on all copies.
Background image of page 2
1 Contents PRE1: Review of geometry 4 PRE2: Trigonometric functions 10 PRE3: Trigonometric identities 39 PRE4: Trigonometric equations and inequalities 54 PRE5: Application to Triangles 85 PRE6: Vectors 104 PRE7: Sequences and series 124 PRE8: Conic sections 142
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2
Background image of page 4
Trigonometric identities a ± b 2 a sin( a ± b ) = sin a cos b ± sin b cos a cos( a ± b ) = cos a cos b sin a sin b tan( a ± b ) = tan a ± tan b 1 tan a tan b cot( a ± b ) = cot a cot b 1 cot b ± cot a (!!) = sin(2 a ) = 2 sin a cos a cos(2 a ) = cos 2 a - sin 2 a = 2 cos 2 a - 1 = 1 - 2 sin 2 a tan(2 a ) = 2 tan a 1 - tan 2 a cot(2 a ) = cot 2 a - 1 2 cot a ± sin( a + b ) sin(
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/19/2011 for the course MATH 180 taught by Professor Byrns during the Spring '11 term at Montgomery College.

Page1 / 177

PreCalculus - Lecture Notes on Precalculus Dr. Eleftherios...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online