#SOH CAH TOA

85 messages · Page 1 of 1 (latest)

urban kayakBOT
tiny dagger
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Well step one is to write down what sin theta, cos theta and tan theta are

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as in like sin theta = opp/hyp = 24/59

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yeah then the way to undo sin cos and tan is just using the inverse

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the way to understand what sin cos and tan are doing is
sin is a function that takes an angle and returns some ratio of lengths
likewise for cos and tan
you can undo this via sin^-1 or arcsin or whatever your school calls it
so for instance sin (30 deg) = 1/2, whence 30 deg = arcsin (1/2)

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assuming the angle is in some range but thats the gist

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you could do
[
\sin\theta = \frac{AB}{BC} = \frac{24}{59}, \text{ whence } \theta = \arcsin\frac{24}{59} \approx 24.002698\deg
]
or something

past knotBOT
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saddle196883

263676232271527937.png
tiny dagger
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then repeat for the rest

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ye

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no cause that would defeat the purpose of the question

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you can use paper

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or just type without the bot

tiny dagger
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and liekwise for cos and tan

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with the numbers suitably changed of course

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then you will have to edit it to suit your means, i am not in school so i wouldn't know what the teacher expects

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at the very least the content is there

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use \[ and \] instead of [ and ]

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weird

past knotBOT
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noah

\[
\sin\theta = \frac{AB}{BC} = \frac{24}{59}, \text{ whence } \theta = \arcsin\frac{24}{59} \approx 24.002698\deg
\]
729835785070837903.png
tiny dagger
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you will need to rmb
what is the definition of sin theta

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ye

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the qn asks for all three

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no,

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the ratios are different

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rmb your soh cah toa

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that tells you what sides to take

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where's your calculation

past knotBOT
tiny dagger
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should be 54/59

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and rmb to change the right side

past knotBOT
tiny dagger
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54 is AC, not AB, and you aren;t using arcsin anymore but arccos

past knotBOT
tiny dagger
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er

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yes

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need to 3dp

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theta is arccos 54/59 not srcsin

past knotBOT
tiny dagger
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ye

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now do for tan

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rmb to 3dp everything as per qn

past knotBOT
tiny dagger
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ye

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theres only one theta
all three lines should result in the same ans

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as it should be

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its ab/ac

past knotBOT
tiny dagger
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24/54

past knotBOT
tiny dagger
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ye

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use a calculator

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qn says to do it for all of them

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ye

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need to change to 3dp

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but otherwise yes

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3 decimal places

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yeah then just append a = 24.002 (3d.p)

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ye]

tiny dagger
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Is 24.002 not close to 24

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Wut

tiny dagger
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hmm
i wonder if its because its rounded to 24.003

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yeah thats probably why then

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oof

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qn asks for 3 dp

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26 rounds off to 3

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so i assume its 24.003

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er

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should be theta = arcsin 24/59 = 24.003

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all

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yeah as in, what you literally wrote is 24/59 = 24.002

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which is definitely wrong
i said arcsin 24/59 = 24.002

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not 24/59 = 24.002

past knotBOT
tiny dagger
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yeah theta = arcsin(24/59) = 24.002
24/59 and arcsin(24/59) are not the same thing

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arcsin(24/59)

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which you can press in the calculator

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to get your 24.0026... then you round off to 3dp

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yea

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cause there is only one angle

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ye

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you can, or you can always ask a friend
i think math is much easier to learn when you do it with friends