Find alpha

[frigid lance]

Bro isth imma crash out idk how to do this shit

[mossy saddle]

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[frigid lance]

I found gradient of both tangents

But then apparent'y I'm supposed to use some tan inverse thing that i dont understand

[river kite]

idk if you are given the formula

but where im from we get a formula sheet

[frigid lance]

ye

mf19

[river kite]

its like tan(angle) = |m2-m1/1+m1m2|

so you find derivative of both curves

sub in x = 4

and since the derivative is js gradient

then u sub it into that

[frigid lance]

What i was told is subtract tan inverse of 3 from tan inverse of 1/2 which are the 2 gradients of the 2 lines

[river kite]

is the answer 45deg

[frigid lance]

We don't get that formula

[river kite]

ah

[river kite]

i can show u how i did it

but idk how they did it

i js found derivatives and stuff

ifykwim

[frigid lance]

oh ok

and u just used formula

[river kite]

so first find derivative of both of the curves

yea pretty much

normally the questions ive seen like this are 2-3 marks

2 marks for finding the derivatives and subbing in the correct x value

and the finla mark for solving for the angle

final*

[frigid lance]

this was the official ms

[river kite]

i dont know why they have done that

search up angle between curves formula

idk i had it on my formula sheet last year

[frigid lance]

https://tenor.com/view/emojedie-gif-22495013

[terse totem]

Find the derivatives of both functions at x=4

As a first step

[frigid lance]

yes

i got that part

[terse totem]

So what are they

[frigid lance]

1/sqrt(x) and x-1

[terse totem]

Alright

So we sub in x=4

[frigid lance]

yeah and get 1/2, and 3

[terse totem]

Alright

So these happen to be positive

So to get the angle between each tangent and the x axis

We can just arctan each slope

,calc arctan(3)

[waxen glen]

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

[terse totem]

,calc atan(3)

[waxen glen]

Result:

1.2490457723983

[terse totem]

,calc atan(1/2)

[waxen glen]

Result:

0.46364760900081

[frigid lance]

why does that even work tho

[terse totem]

If you think about it for a moment

The slope of a line is just the ratio of the rise over the run

Which is just opposite/adjacent

Anyway so our alpha is
,calc atan(3)-atan(1/2)

[frigid lance]

ohhhh

[terse totem]

,calc atan(3)-atan(1/2)

[waxen glen]

Result:

0.78539816339745

[frigid lance]

alr ty

[terse totem]

Convert to degrees if needed

[frigid lance]

thanks

how do i add rep to u

[terse totem]

Close channel

[frigid lance]

from this thing

oh ok

[terse totem]

Then you'll get the option to

[frigid lance]

+close

[full fjord]

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[full fjord]

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