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## Trigonometry Notes 2.4 and 2.5

by: Joseph Notetaker

14

0

4

# Trigonometry Notes 2.4 and 2.5 MTH 181

Marketplace > Missouri State University > Math > MTH 181 > Trigonometry Notes 2 4 and 2 5
Joseph Notetaker
MSU

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These notes cover the last week before the test
COURSE
Trigonometry
PROF.
Micheal E. Cagle
TYPE
Class Notes
PAGES
4
WORDS
CONCEPTS
Math
KARMA
25 ?

## Popular in Math

This 4 page Class Notes was uploaded by Joseph Notetaker on Tuesday March 22, 2016. The Class Notes belongs to MTH 181 at Missouri State University taught by Micheal E. Cagle in Spring 2016. Since its upload, it has received 14 views. For similar materials see Trigonometry in Math at Missouri State University.

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Date Created: 03/22/16
Trigonometry Section 2.4 and 2.5 Cos(a-b) = cosacosb + sinasinb Cos(a+b) = cosacosb – sinasinb Sin(a-b) = sinacosb - cosasinb Sin(a+b) = sinacosb + cosasinb tana−tanb Tan(a-b) =1+tanatanb tana+tanb Tan(a+b) = 1−tanatanb Here is an example problem: 7π 7π 2π π Find the Exact value ofn12 (hint: 12= 3− 4 ) 2π π 2π π 2π π sin(3 − 4)=sin 3 cos4−cos 3 sin4 Plug in the values ¿ √3 √2 − −1 √2 ( 2 ( 2 ( 2 ( 2 Derive reference angles ¿ √6−− √ Multiply 4 4 √ √ 2 4 Combine (this is the finished form of the problem 2.5 Double angle formulas: Half angle formulas(+ and – is either/ or not both): Sin: sin2 x=2sinxcosx Sin: sin =± 1−cosx 2 √ 2 2 2 Cos: cos2x=cos x−si n x Cos: x 1+cosx cos2=± √ 2 2 cos2x=2cos x−1 Tan: tan = 1−cosx 2 sinx 2 cos2x=1−2si n x 2tanx Tan: tan2 x= 2 1−tan x −29 3π −21 −20 Example: secθ= 20 π<θ< 2 this means sin= 29 cos= 29 21 tan= θ = Q3 20 Sin2θ = 2 −21 −20 =840 (29 ( 29 841 −20 ¿ −1=41 Cos2θ = 29 841 2¿ 21 2 20¿ ¿ Tan2θ = 1−¿ 2(1) 20 ¿ π < <π 2 2 4 θ = Q2 20 θ 1+29 sin = 2 √ 2 29+20 29 29 ¿√ 2 49 = 29 √ 2 49 ¿√58 7√58 ¿ 58 20 1− cos =− 29 2 √ 2 29−20 ¿− 29 29 √ 2 9 29 ¿−√2 9 ¿−√58 −3 58 ¿ 58 20 −1+29 −21∗29 tan = 29 2 29 ¿49 =−7 −21 3

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