Geometry trig

No. I mean opposite the angle M
When we label a side as "opposite", it is always with reference to an angle.
The hypotenuse is opposite the right angle and is the longest side.
The left-over side is the adjacent.
If you want sin (M) , you need the side opposite M and the hypotenuse.
You must label the sides correctly from the start.
 
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Can you see now where you went wrong initially? You MUST get your opp, adj and hyp sides right at the very beginning? Can you see now that the side OPPOSITE angle M is \(\displaystyle 2\sqrt3\) not 2?
 
rachelmaddie said:
No, I do understand the notation. I have notes on how to apply these ratios. I don’t understand how to simplify the radicals.
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Dear rachelmaddie, by your reply you have proved my point.
You seem to think that the functions have some fixed simple formulas.
You do not have the in depth experiences necessary to understand these answers.
 
Aliabla said:
So you now have opposite/hypotenuse don't you....what does this equal(=)?
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That’s why I need help. Wait I think I have misunderstood the initial question being asked. I’m being asked to find all three ratios, correct?
 
pka said:
Dear rachelmaddie, by your reply you have proved my point.
You seem to think that the functions have some fixed simple formulas.
You do not have the in depth experiences necessary to understand these answers.
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Pka, with respect I disgree. It seems rachelmaddie is just beginning to learn right-angled triangle trigonometry, where sine, cosine and tangent are defined as ratios. This is usually the way these concepts are introduced. I think her issue is twofold. 1. Not being able to identify sides opp and adj an angle and 2. Simplifying ratios involving surds.
I also don't see how my responses can be detrimental to other students reading this thread.
 
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rachelmaddie said:
That’s why I need help. Wait I think I have misunderstood the initial question being asked. I’m being asked to find all three ratios, correct?
Click to expand...
Yes rachelmaddie. But first thing is to list the opp, adj and hyp correctly. The opposite side is determined by the angle under consideration. So, lets do it again. #13. Considering angle M, list
opp =
Adj =
Hyp =
Then write your ratios:
sin (M) =
cos (M) =
tan (M) =

Then we can worry about simplifying them. Please do that.
 
Harry_the_cat said:
Pka, with respect I disgree. It seems rachelmaddie is just beginning to learn right-angled triangle trigonometry, where sine, cosine and tangent are defined as ratios. This is usually the way these concepts are introduced. I think her issue is twofold. 1. Not being able to identify sides opp and adj an angle and 2. Simplifying ratios involving surds. I don't see how my respinses can be detrimental to other students reading this thread.
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Please tell me how someone who does not understand functions learns trigonometry?
 
pka said:
Please tell me how someone who does not understand functions learns trigonometry?
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Right angled triangle trigonometry is usually taught before the formal definition and notation of functions. The correct labelling of sides as opp or adj depending on the angle being considered implicity brings in the concept of a function.
 
Harry_the_cat said:
Yes rachelmaddie. But first thing is to list the opp, adj and hyp correctly. The opposite side is determined by the angle under consideration. So, lets do it again. #13. Considering angle M, list
opp =
Adj =
Hyp =
Then write your ratios:
sin (M) =
cos (M) =
tan (M) =

Then we can worry about simplifying them. Please do that.
Click to expand...
Opp = 2√3
Adj = 2
Hyp = 4
Sin (M) = 2√3/4
Cos (M) = 2/4
Tan (M) = 2√3/2

Are these ratios correct?
 
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