#Trig
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Okay, so what have you tried?
tanx = sinx/cosx
sinx/cosx = 3/5
sinx = 3cosx/5
something like this
how would I solve this question?
Note:
sin(arctan(x)) = x/√(1 + x^2)
cos(arctan(x)) = 1/√(1 + x^2)
So, solve the trigonometric equation first, then use the formulas. You'll also need to remember some shift formulas for sine and cosine.
can something like this work here? if not then why
for this kind of exercices is very helpful to draw a triangle with what u know
since u know tan(a) is 3/5
it means the opposite side to an angle is 3 and the cont is 5
make a system with cos^2+sin^2=1
it always works for me
i mean cos(angle) and sin(angle) of course
wolfie is shitting on you in vc btw
Let $\sin\theta=3k$ and $\cos\theta=5k$ then $(3k)^2+(5k)^2=1$ thus we can find $k$ which gives us the desired.
Romans 12:19
what are you waffling about
"9+25=34????!"-wolfie2024
proof?
everytime i see a 9,25 or 34
ill remember it
sekai waffler
bro has it as his passive skill
(hes always yapping)
Well, as I said, my approach would be the following:
||tan(θ) = 3/5, π < θ < 3π/2 ⇒ θ = π + arctan(3/5)
sin(θ) = sin(π + arctan(3/5)) = -sin(arctan(3/5)) = -3/√(3^2 + 5^2) = -3/√(34)
cos(θ) = cos(π + arctan(3/5)) = -cos(arctan(3/5)) = -5/√(3^2 + 5^2) = -5/√(34)||
I haven't studied those identities yet
this is what i did
Oh, they are quite useful. I recommend learning them.
I will soon
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