#Trig

35 messages · Page 1 of 1 (latest)

tame mural
queen sandalBOT
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long path
tame mural
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sinx/cosx = 3/5

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sinx = 3cosx/5

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something like this

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how would I solve this question?

rough lantern
# tame mural Help

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.

tranquil pelican
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can something like this work here? if not then why

sleek sonnet
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for this kind of exercices is very helpful to draw a triangle with what u know

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since u know tan(a) is 3/5

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it means the opposite side to an angle is 3 and the cont is 5

velvet locust
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it always works for me

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i mean cos(angle) and sin(angle) of course

desert canopy
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wolfie is shitting on you in vc btw

wispy niche
# tame mural Help

Let $\sin\theta=3k$ and $\cos\theta=5k$ then $(3k)^2+(5k)^2=1$ thus we can find $k$ which gives us the desired.

mild mirageBOT
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Romans 12:19

wispy niche
desert canopy
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"9+25=34????!"-wolfie2024

wispy niche
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proof?

desert canopy
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everytime i see a 9,25 or 34

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ill remember it

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sekai waffler

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bro has it as his passive skill

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(hes always yapping)

rough lantern
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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)||

tame mural
tame mural
rough lantern
tame mural
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+close