All Questions
Tagged with secondary-education trigonometry
14 questions
0
votes
3
answers
564
views
What is this symbol called?
I know how to pronounce the first symbol as "theta", but the other symbol that looks like a circle with a vertical slash, I don't know what to call it.
I would appreciate any help. Thank you
- 17
1
vote
1
answer
142
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Pythagoras and Trigonometry sequencing
In teaching the high school curriculum Pythagoras is usually bundled with Trigonometry. They might be justified by way of proof of some sort. They are used to solve 2d and 3d geometry problems for ...
- 987
0
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2
answers
167
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Multiple proofs for the same problem
One way of encouraging students to explore mathematics can be letting them to use different approaches to solve the same problem. If students can find alternatives from different areas of mathematics ...
- 1,154
7
votes
2
answers
580
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Phase shift vs. horizontal shift, and frequency vs. angular frequency in sinusoidal functions
TL;DR version:
It seems to me that high school curricula no longer distinguish between "horizontal shift" and "phase shift", or between "frequency" and "angular ...
- 17.4k
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5
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How to intuitively understand how the trig ratios are calculated
I've asked a question on Math Stack Exchange, but it was suggested it might be a better idea to post it on this Educators instead.
Here's the question link:
https://math.stackexchange.com/questions/...
- 151
1
vote
1
answer
263
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How to formulate this type of arcsin problem?
Reading and commenting on What are some common ways students get confused about finding an inverse of a function? I was kindly set straight that the use of $\sin^{^{-1}}(x)$ to mean $\arcsin(x)$ has ...
5
votes
6
answers
859
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Why do standard geometry textbooks not start with trigonometry?
Throughout my geometry course, I was given many theorems and postulates, which I was were expected to memorize and apply. At the time, I sorta went along with it, but I couldn’t help but wonder where ...
- 159
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0
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99
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How to introduce trigonometric ratios (HS) through a cognitive model?
I'm teaching a precalculus course and also taking a class on how to teach mathematics constructing a specific cognitive model for different topics. So, I have this assignment to build a cognitive ...
- 279
7
votes
3
answers
987
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Rules to eliminate erroneous solutions in Trig equations?
This is a High School Trig problem asking for the solution to an otherwise simple equation.
$\frac{\left(1+\cos x\right)}{\sin x}$=-1 (per comment - the domain was specified as greater than -180 ...
3
votes
2
answers
199
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Necessary trigonometric identities for k-12 students [closed]
Which trigonometric identities are necessary for the k-12 student?
I want to make a list of trigonometruc identities for k-12 student. My list is below, please help me to improve the list by ...
- 147
17
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9
answers
2k
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How to convince my student that this is an Identity : $\sec^2x-\tan^2x=1$?
I taught three basic trigonometric identities. One of my 9th grade students asked: How can we say $$\sec^2x-\tan^2x=1$$ is an identity since when we plug in $x=\frac{\pi}{2}$ the identity fails which ...
5
votes
3
answers
665
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The values of trigonometric ratios
Today I explained to my students how the value of $\sin(90°)$ is 1 by first drawing a right angled triangle and taking $90°$ as a reference angle, and told them that now $\sin(\theta)=\frac{\text{...
- 660
6
votes
5
answers
2k
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Proving trigonometric identities
When teaching trigonometric identities, I found the students had trouble proving them. All the students taking turns to ask almost all the questions of an exercise embarrased me somewhat. In order to ...
- 660
25
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10
answers
6k
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Pi or Tau? How should the circle constant be taught?
Tau ($\tau = 2 \pi$) has more merits in its application, but pi is the established standard in industry and education. Is the trade-off of teach-ability of circle concepts worth the subsequent ...
- 519