i need help verifying the answer for this question

[north cairn]

here's what i've done but im not sure if im correct or not

[gleaming otter]

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[summer drift]

why do you think it’s incorrect?

[north cairn]

im insanely fatigued and have been making stupid mistakes the entire day on this chapter so im not sure

[summer drift]

i assume you have an answer key/solution book?

[north cairn]

also congrats on helper of the week man!

[summer drift]

to me, it looks like your method is fine.

[north cairn]

i do not

[summer drift]

i’ve has it for ~1 month, dw about it

[north cairn]

the teacher forgot to unhide the answer in the slide it seems

[summer drift]

i’ll double check it you made any errors though

[north cairn]

ah ty

[summer drift]

actually, wait.

think about the fact that $\sin(\pi-\theta)=\sin(\theta)$

[old willow]

dark matter

[north cairn]

ye and as its sin its always +ve

cuz 1st and 2nd quadrant

that's why i just put sin theta = x and made it a quadratic

to get 2 values

[summer drift]

yeah, but don’t you think that could extend the solution set?

pi-x is not the same as x unless x is pi/2

clearly, that’s not the case

[north cairn]

but isn't any trigo function (pi-x) always that function (x)

[summer drift]

try that for cosine.

[north cairn]

then its gonna be - cos x

as 2nd quadrant

[summer drift]

yeah, so not nevesssirl the same

my point is that you can expand the solution set

for the positive variant of x

[north cairn]

ah i understand

but as we dealing with sin i think its not an issue

[summer drift]

no, it is

we are asked for values of theta, not x.

[north cairn]

ooh right!

but suppose we get x = 1/2 and root3/2 so theta would be pi/6 and pi/3 so again we got 2 values

as the range of sin is defined we're only gonna get those values

not something like - pi/6 and such

[north cairn]

this is what i meant by fatigued lol

i was just thinking of finding x rather than theta

[summer drift]

lol

[north cairn]

but i got lucky in this question

[summer drift]

if you have no further queries, do +close

make sure to press red and blue buttons

[north cairn]

ah so this logic is correct rite?

[north cairn]

ah alr

+close

[elder prism]

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[elder prism]

dark matter Thank you for helping our users, however our Mathematics Team cares about the health of its members, so you can no longer receive since you surpassed your daily limit, but don't worry, it will be reset tomorrow.