#help-12 | Mathematics | Page 1

nimble tusk May 26, 2026, 1:49 AM

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Please-@ me I need to find the gradient also if theres a helper helping Please dont interrupt unless they make a mistake or if instructed so by me thanks

signal questBOT May 26, 2026, 1:49 AM

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nimble tusk Please-@ me I need to find the gradient also if theres a helper helping Please d...

nimble tusk May 26, 2026, 1:49 AM

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Im doing f

azure badge May 26, 2026, 1:51 AM

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Firstly, how did you do question c?

nimble tusk May 26, 2026, 1:51 AM

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In my head

azure badge May 26, 2026, 1:51 AM

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What did you do in your head

nimble tusk May 26, 2026, 1:52 AM

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I just know whats pi/6 then I made it negative according to the axis

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Then divide sin by negative cos

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And got tan

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-sqrt3/3

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Or -1/sqrt3

azure badge May 26, 2026, 1:53 AM

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ok. do same angle chasing
and determine the angle between the line and the positive x-axis

nimble tusk May 26, 2026, 1:53 AM

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Its 90 degree

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I can see a triangle

azure badge May 26, 2026, 1:54 AM

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apply angle sums to determine the angles in that triangle

nimble tusk May 26, 2026, 1:55 AM

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Well A triangle is 180 degree we remove 90 that leaves us with 90

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So now we need to find the rest

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Right?

azure badge May 26, 2026, 1:56 AM

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yes, find all the angles in the triangle

nimble tusk May 26, 2026, 1:56 AM

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How do I find the rest

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Wait i see an easier way

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Can i do -sqrt3/2 ÷ -1/2

azure badge May 26, 2026, 1:57 AM

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what's the reasoning for that

nimble tusk May 26, 2026, 1:57 AM

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Well i did 2pi/3 and made sin negative cause its a negative y axis

azure badge May 26, 2026, 1:58 AM

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gradient isn't defined that way
you can't just take tan of any angle you see

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nimble tusk May 26, 2026, 1:59 AM

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Ohhhh

azure badge May 26, 2026, 1:59 AM

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gradient = tan(angle between the line and the positive x-axis)

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in this case the blue theta

nimble tusk May 26, 2026, 1:59 AM

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Wait thats tan?

azure badge May 26, 2026, 2:00 AM

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you want the tan of that angle

nimble tusk May 26, 2026, 2:00 AM

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Ok

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We have pi

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Green is 2pi/3

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Is it

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No

azure badge May 26, 2026, 2:00 AM

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green isn't 2pi/3

nimble tusk May 26, 2026, 2:01 AM

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Yep assumed so

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What is green

azure badge May 26, 2026, 2:01 AM

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go through the actual calulation

nimble tusk May 26, 2026, 2:01 AM

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I need a hint

azure badge May 26, 2026, 2:02 AM

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angle sum on a line (in radians) = 2pi/3 + green = ?

nimble tusk May 26, 2026, 2:02 AM

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Pi-2pi/3

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Thats pi/3

azure badge May 26, 2026, 2:03 AM

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jumping ahead but
yes
that'll be the green angle

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can you now determine the purple angle

nimble tusk May 26, 2026, 2:03 AM

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Pi-pi/3

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No

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Wait

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Pi/2-pi/3

azure badge May 26, 2026, 2:04 AM

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yes

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and what does that simplify to

nimble tusk May 26, 2026, 2:04 AM

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Is pi-pi=0

azure badge May 26, 2026, 2:04 AM

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pi - pi does = 0
but why are you doing that here

nimble tusk May 26, 2026, 2:05 AM

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Because im deducting 1 by 1

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No calc

azure badge May 26, 2026, 2:05 AM

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that's not how fraction subtraction works

nimble tusk May 26, 2026, 2:05 AM

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How does it work

azure badge May 26, 2026, 2:05 AM

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recall common denominators etc

nimble tusk May 26, 2026, 2:05 AM

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Haven't done it in a long time

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Cant recall

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Haven't done in a long time

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Ohh wait same denomerator

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It needs to be the same

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3pi/6-2pi/6=pi/6

azure badge May 26, 2026, 2:07 AM

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(because you would've had to have done this to get that pi/3 earlier as well)
but yes purple = pi/6

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now what's the size of the blue angle

nimble tusk May 26, 2026, 2:07 AM

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Pi/3