trig help | Mathematics | Page 1

echo warren Sep 27, 2024, 11:28 PM

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stark spokeBOT Sep 27, 2024, 11:28 PM

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echo warren

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echo warren Sep 27, 2024, 11:29 PM

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echo warren

i do not understand how to do these, please just explain to me the general steps to solve it so i can replicate

ruby jungle Sep 28, 2024, 12:24 AM

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echo warren

i’m assuming no calculator?

echo warren Sep 28, 2024, 12:29 AM

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ruby jungle i’m assuming no calculator?

i can

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i know first hting i can do is take arch whatever of the given number

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but after that im lost

ruby jungle Sep 28, 2024, 12:42 AM

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echo warren but after that im lost

oh

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i see

echo warren Sep 28, 2024, 12:47 AM

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ruby jungle i see

can u explain

crimson falconBOT Sep 28, 2024, 12:59 AM

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echo warren can u explain

ruby jungle Sep 28, 2024, 1:00 AM

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💀

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w misclick

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anyways

ruby jungle Sep 28, 2024, 1:00 AM

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echo warren can u explain

the range of arcsin(x) is -90<y<90

echo warren Sep 28, 2024, 1:00 AM

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how do you know this

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also how does that help

ruby jungle Sep 28, 2024, 1:01 AM

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echo warren how do you know this

that is a more lengthy explanation

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it helps because we are able to understand

echo warren Sep 28, 2024, 1:01 AM

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i just wanna be able to look at it and solve it

ruby jungle Sep 28, 2024, 1:02 AM

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what to do with arcsin(-0.16884)

echo warren Sep 28, 2024, 1:02 AM

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put it in calc

ruby jungle Sep 28, 2024, 1:02 AM

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,calc arcsin(-0.16884)

simple jungleBOT Sep 28, 2024, 1:02 AM

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The following error occured while calculating:
Error: Undefined function arcsin

ruby jungle Sep 28, 2024, 1:02 AM

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💀

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,w arcsin(-0.16884)

simple jungleBOT Sep 28, 2024, 1:02 AM

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Results provided by WolframAlpha

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ruby jungle Sep 28, 2024, 1:02 AM

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simple jungle

this result is in the 4th quadrant

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we need to convert it to the third

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since the angle is between 180 degrees and 270

echo warren Sep 28, 2024, 1:03 AM

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ok

ruby jungle Sep 28, 2024, 1:03 AM

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now to convert from 4th to 3rd

echo warren Sep 28, 2024, 1:03 AM

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add 90 or 180?

ruby jungle Sep 28, 2024, 1:03 AM

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we need to reflect the angle across the x axis

echo warren Sep 28, 2024, 1:03 AM

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oh

ruby jungle Sep 28, 2024, 1:03 AM

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and then add 180

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so what would that be?

echo warren Sep 28, 2024, 1:04 AM

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wait the reflect across x

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what does that look ike

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do u do anything to the number

native cove Sep 28, 2024, 1:04 AM

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reflect across y-axis 😭

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you reflect it across the x-axis it'll be in the first quadrant 😭

ruby jungle Sep 28, 2024, 1:05 AM

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wait.

echo warren Sep 28, 2024, 1:06 AM

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yeah but i shouldnt need

ruby jungle Sep 28, 2024, 1:06 AM

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echo warren what does that look ike

sorry, i meant to say y-axis.

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the angle becomes negative

native cove Sep 28, 2024, 1:06 AM

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it's ok lol

ruby jungle Sep 28, 2024, 1:06 AM

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so for this example

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-0.169653 becomes 0.169653

native cove Sep 28, 2024, 1:06 AM

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tbh this is just a single trig identity
@echo warren recall the identities

ruby jungle Sep 28, 2024, 1:06 AM

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then add 180 degrees

native cove Sep 28, 2024, 1:07 AM

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sin is odd 😭

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wait

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adding 180 flips it again

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ah smart

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tbh i was thinking $\sin(A) = \sin(180-A)$, but yep that also works

simple jungleBOT Sep 28, 2024, 1:07 AM

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Ravi Shastri

echo warren Sep 28, 2024, 1:08 AM

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but wouldnt reflect across y and add 180 make it not in the third quadrant

native cove Sep 28, 2024, 1:08 AM

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echo warren but wouldnt reflect across y and add 180 make it not in the third quadrant

no what he did is reflect it across the x-axis

ruby jungle Sep 28, 2024, 1:08 AM

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DUDE

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YOU MESSED ME UP

native cove Sep 28, 2024, 1:08 AM

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that brings it into the 1st quadrant

ruby jungle Sep 28, 2024, 1:08 AM

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I WAS RIGHT WITH X-AXIS

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🤦‍♂️

native cove Sep 28, 2024, 1:08 AM

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then he added 180

echo warren Sep 28, 2024, 1:09 AM

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why are you reflecting first

native cove Sep 28, 2024, 1:09 AM

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which brings it into the III quadrant

ruby jungle Sep 28, 2024, 1:09 AM

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so for $\theta$, you have $180-\theta$

simple jungleBOT Sep 28, 2024, 1:09 AM

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;( | 追放された興奮

native cove Sep 28, 2024, 1:09 AM

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yes please just use that 😭

ruby jungle Sep 28, 2024, 1:09 AM

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echo warren why are you reflecting first

To put it into positive form, and 2. Because we can do a lot more simplification/manipulation with angles in the first quadrant.

echo warren Sep 28, 2024, 1:10 AM

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so
step 1. calculate Arch what ever of given value
step 2. reflect into quadrant 1
step 3. ?

ruby jungle Sep 28, 2024, 1:10 AM

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echo warren so step 1. calculate Arch what ever of given value step 2. reflect into quadrant...

Step 3 would be adding/manipulating whatever angle you have into the first quadrant

echo warren Sep 28, 2024, 1:11 AM

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so that it ends up in the quadrant its supposed to be in?

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by adding 180, or 90?

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im trying to make a series of steps i can follow that work for any problem of htis kind

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wait if thats step 3, whats step 2

candid flax Sep 28, 2024, 3:53 AM

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what calculator are you using

ruby jungle Sep 28, 2024, 1:50 PM

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echo warren by adding 180, or 90?

i fell asleep mb 😭

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so to summarize

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Step 1. Calculate arc given value

echo warren Sep 28, 2024, 1:50 PM

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It's ok I figured it out except for sec, I have no clue what I'm doing but I'm getting right anawer

ruby jungle Sep 28, 2024, 1:51 PM

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sec(x)?

echo warren Sep 28, 2024, 1:51 PM

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Yuh but continue

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What u were saying

ruby jungle Sep 28, 2024, 1:51 PM

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Step 2. Rotate (or reflect) to get angle back into quadrant 1

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Step 3. Use rotation to get back to original quadrant (if neccesary)

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Sometimes, we do not need step 2

echo warren Sep 28, 2024, 1:53 PM

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ruby jungle Step 3. Use rotation to get back to original quadrant (if neccesary)

Like add 180 or 90?

ruby jungle Sep 28, 2024, 1:54 PM

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for example, going from quadrant 4 to quadrant 2 only requires a rotation of 180

ruby jungle Sep 28, 2024, 1:54 PM

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echo warren Like add 180 or 90?

yes

echo warren Sep 28, 2024, 1:54 PM

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So basically after getting arch whatever, just reflect and rotate til ur in the quadrant u want

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And take the reference angle

ruby jungle Sep 28, 2024, 1:55 PM

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yes

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good work!

echo warren Sep 28, 2024, 1:56 PM

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Ok cool thanks

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For waking up and coming back lol

ruby jungle Sep 28, 2024, 1:57 PM

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echo warren For waking up and coming back lol

alg

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im taking a day off anyways

echo warren Sep 29, 2024, 6:07 PM

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.close

trail berryBOT Sep 29, 2024, 6:07 PM

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Unable to parse the channel name

echo warren Sep 29, 2024, 6:08 PM

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+close

#trig help