

HPC 5.2 Verifying Identities Day 2
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
Standards-aligned
Shane Devlin
Used 16+ times
FREE Resource
6 Slides • 9 Questions
1
HPC 5.2 Verifying Identities
Day 2

2
3
Poll
Which side of this equation is the most "complicated"?
2 − csc2x = 1− cot2x
Right Side
Left Side
All of Life is complicated right now. There's really no way to tell.
4
"Complicated" is Subjective
5
Poll
Which substitution would you use to start this problem?
2 − csc2x = 1− cot2x
csc2x= cot2x+1
cot2x=csc2x−1
csc2x=sin2x1
cot2x= tan2x1
cot2x=sin2xcos2x
6
Multiple Choice
Which of the following approaches/advice do you think is most important to avoid mistakes on this problem?
2 − csc2x = 1− cot2x
When substituting, use parenthesis and remember to distribute the negative sign.
Change everything to sine and cosine, it will be easier.
Rewrite everything using definitions in terms of x, y and r to make it more clear.
Mistake? A horse walks into a bar and the bartender says, "Why such a long face?"
7
Poll
Which side of this equation is the most "complicated"?
tanx + cotx = secxcscx
Right Side
Left Side
Complicated. I'll tell you what's complicated. My alphabet soup was missing the letter L. Of course, it was from Christmas, so that was appropriate.
8
9
Poll
Which side of this equation is the most "complicated"?
secx+tanx = 1−sinxcosx
Right Side
Left Side
Complicated. I'll tell you what's complicated. When I woke up this morning all my lamps were gone.
Strangely though, I was delighted.
10
Hint: start by multiplying the right side by (1 + sin x) on top and bottom.
(1 + sin x)
(1 + sin x)
(. )
11
Multiple Choice
Which side is the "more complicated"?
tan3x=tanxsec2x−tanx
Right Side
Left Side
Complicated? I'll tell you what's complicated, waiting for the new marvel movie about the constipated superhero. Waiting. . . Waiting. . . Waiting. Sadly, it still hasn't come out yet
12
Draw
Verify:
tan3x=tanxsec2x−tanx
13
Poll
Which side of this equation is the most "complicated"? cos3xsin4x = (sin4x−sin6x)cosx
Right Side
Left Side
Complicated.? I used to wonder why frisbees looked bigger the closer they got. . . Then it hit me!"
14
Draw
Verify:
cos3xsin4x = (sin4x−sin6x)cosx
15
Pages 362 - 363
#6, 14, 17, 31, 34, 41, 47, 51, 55
Homework
HPC 5.2 Verifying Identities
Day 2

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