Could someone help me with 5 Geometry questions? I will fan and medal :)

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Could someone help me with 5 Geometry questions? I will fan and medal :)

Mathematics
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1. Given the triangle below, which of the following is a correct statement? \[\cot
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Do you still remember your inverse trigonometric ratios?
Yes. csc= hypotenuse/opposite sec=hypotenuse/adjacent cot=adjacent/opposite

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okay cool :) So from there, it is just trial and error as you see which of A,B,C or D is correct ^^
I'm kind of confused though, the csc options are 3/4 or 4/3 but where are they getting those numbers from?
There are gotten, by interpreting the diagram :) Here I'll explain how to get the correct one !
I think it's the last option
Yeah it is the last one !
I just realized that 8 is the hypotenuse and half of 8 is 4, and the opposite is 6 and half of 6 is 3 :)
yeah, simplification is the way to go ^^
I have 4 more so let me post the next one. 2. Use △DEF, shown below, to answer the question that follows: What is the value of X rounded to the nearest hundredth? Type the numeric answer only.
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Ah no problem !
So do you know how to start the next one? Do you remember your trig formulas for both Right angle and non-right angle triangles ?
No not off the top of my head
Ah okay, I'll help out ! Sine Rule for non-right angle triangles is SinA = SinB a b
Alternatively, when you forget next time, you can quickly search via the internet for the formulas : )
In this particular question, we are working with the formula SinA = SinB a b
I think I got it, one sec.
Alright cool ~
41.51?
Yes ! that is correct
Yay!! 3. In △PQR, find the measure of ∡P. A. 30.4 degrees B. 35.9 degrees C. 54.1 degrees D. 59.6 degrees
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Alright, so now we are working with a right angle triangle, so the formulas we resort to are SOHCAHTOA
Which of the standard trig ratios do you think it is ?
Do I use the tangent function ?
Right again mate ^^
Okay I got 30.4
Correct !
4. Find the value of the csc 40° using your calculator. This one is pretty easy lol I got 1.556
yeap, way ahead of me haha, i just checked and your correct :)
5. In △JKL, solve for x. A. 74.89 B. 30.29 C. 38.16 D. 66.73
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By the way, do you sometimes forget your inverse trig ratios? Because I got a neat trick that you can't forget them :)
Yeah I do sometimes!
The trick is to remember every 'third' letter of the inverse function For example Se'c' = Cos Co's'ec = Sin Co't' = Tan
Oh wow I didn't even realize that!
Anyways, back on track :) I've got a solution for our next question ^^
Yeah haha, its a hidden trick that I picked up a while back ~
Do I use the cosine function?
yeah that's correct !
I got 38.16
Yes that correct !
Thank you so much, you were so helpful!
Glad to be of such help, anytime !

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