Goals ~To simplify trig expressions~ Trig...4. csc2 x, if cot2 x = 0.36 32. 2.5 5. tan x, if sec x =...

4
Simplifying Trig Expressions.notebook 1 November 02, 2016 Mar 2112:11 PM Goals ~To simplify trig expressions ~ Mar 2112:12 PM sin 2 θ + cos 2 θ=1 Simplifying Trig Expressions Recall: tan 2 x= cot 2 x= sec 2 x= csc 2 x= sin 2 θ + cos 2 θ=1 What if we divide everything by sin 2 θ? By cos 2 θ ? sin 2 θ + cos 2 θ=1

Transcript of Goals ~To simplify trig expressions~ Trig...4. csc2 x, if cot2 x = 0.36 32. 2.5 5. tan x, if sec x =...

Page 1: Goals ~To simplify trig expressions~ Trig...4. csc2 x, if cot2 x = 0.36 32. 2.5 5. tan x, if sec x = 6. csc x, if cot x = 2 Express each of the following as a single term containing

Simplifying Trig Expressions.notebook

1

November 02, 2016

Mar 21­12:11 PM

Goals

~To simplify trig expressions~

Mar 21­12:12 PM

sin2θ + cos2θ = 1

Simplifying Trig Expressions

Recall:

tan2x =

cot2x =

sec2x =

csc2x =

sin2θ + cos2θ  = 1

What if we divide everything by sin2θ?            By cos2θ ?

sin2θ + cos2θ  = 1

Page 2: Goals ~To simplify trig expressions~ Trig...4. csc2 x, if cot2 x = 0.36 32. 2.5 5. tan x, if sec x = 6. csc x, if cot x = 2 Express each of the following as a single term containing

Simplifying Trig Expressions.notebook

2

November 02, 2016

Mar 21­11:58 AM

from the unit circle (i.e. any of the six trigonometric functions)

Mar 21­12:17 PM

7.  sin2x ‐ 1 8.  sinxcotx 9.  sinθcscθcotθ

10.  cosx tanx cscx

11.  2 ‐ 2cos2θ 12.  secθcotθ

Page 3: Goals ~To simplify trig expressions~ Trig...4. csc2 x, if cot2 x = 0.36 32. 2.5 5. tan x, if sec x = 6. csc x, if cot x = 2 Express each of the following as a single term containing

Simplifying Trig Expressions.notebook

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November 02, 2016

Mar 24­8:42 AM

33.  cot2x ‐ cos2xcos2x

Nov 2­11:49 AM

Page 4: Goals ~To simplify trig expressions~ Trig...4. csc2 x, if cot2 x = 0.36 32. 2.5 5. tan x, if sec x = 6. csc x, if cot x = 2 Express each of the following as a single term containing

Simplifying Trig Expressions.notebook

4

November 02, 2016

Nov 2­11:53 AM

#29

Mar 21­12:19 PM

Complete worksheet

Homework


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