#CALC
tough runeBOT
white sleet
<@&286206848099549185>
reef canopy
if you try plotting it, you'll find it looks similar to $y=\sin{x}$
but they are actually only the same at integer multiples of $\frac{\pi}{3}$
zenith epochBOT
Jay
reef canopy
If you know the formula $\sin{3x}=3\sin^x - 4\sin^3{x}$, you can
rewrite the equation into a conveniently factorised form:
$y=\frac{1}{18}\sin{x}\left(15+4\sin^2{x}\right)$
which should address the $x$-intercepts question, at least.
zenith epochBOT
Jay
reef canopy
Note that the symmetry of the function is odd, so you know that the heights for the maxima and minima must be opposites
white sleet
idk how to do anything tbh
can you try and find the answers for me. 1 and 13 are correct but the rest are wrong
my brain literally isnt working right now
white sleet
<@&286206848099549185> please someone solve this i actually have no clue
like i said the first and 13th answer are correct but everything else was wrong
reef canopy
can you try and find the answers for me. 1 and 13 are correct but the rest are w...
Telling you the answers won't help you to learn.
However, I pointed out that,
by using the formula $\sin{3x}=3\sin{x} - 4\sin^3{x}$,
you can rewrite the equation into a factorised form:
$y=\frac{1}{18}\sin{x}\left(15+4\sin^2{x}\right)$
Can you get this result?
If so, for the $x$-intercepts, you need to solve $y=0$.
What does this give?
zenith epochBOT
Jay
reef canopy
Can you find $\frac{dy}{dx}$ from the original equation?
Stationary points will be when $\frac{dy}{dx}=0$... what does this give?
zenith epochBOT
Jay
white sleet
i dont understand hgow to do that
idk what that means
i dont know how to do any of this jay
please tell me the answers i need to get this correct
white sleet
Telling you the answers won't help you to learn.
However, I pointed out that,
...
please jay 😦
reef canopy
Show your working for how you got the answers you put in
white sleet
.close
tough runeBOT
Solved