#trigo

61 messages · Page 1 of 1 (latest)

river otter
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Hi can anyone help I don’t understand what the 1st qns means much thanks!

misty daggerBOT
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blazing grove
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,rotate

true widgetBOT
river otter
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sin a= 53.130 and b is 18.834?

blazing grove
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clearly not

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sin(A) = -4/5

river otter
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my bad -53.130

blazing grove
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that also used a calculator, so not relevant

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Like from CAST rule both A and B have to be in the 3rd quadrant

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use trig identities

river otter
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i see but why are there 4 values

blazing grove
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... cause you're asked... part i-iv

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that's 4 questions

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so 4 values to find

river otter
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wait are they 2 different triangles..?

blazing grove
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tf you on about

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there are no triangles

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Like write sin(2A) in terms of the basic ratios of just A

river otter
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so sin 2a is 2*(-4/5)?

blazing grove
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idk, is sin(2A)=2sin(A)?

river otter
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they arent right

blazing grove
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they are not.

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write sin(2A) in terms of trig ratios of A.

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hint: you're just quoting an identity, literally no thinking should happen lol

river otter
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sin over cos

blazing grove
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????????????????????

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what is the double angle formula for sin?

river otter
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im really sorry im really slow

blazing grove
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go check your notes

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or google

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if you dont know.

river otter
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2tan over(1-tan^2)

blazing grove
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$\sin(2A)=2\sin(A)\cos(A)$

true widgetBOT
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Omegabet_

blazing grove
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read your notes next time.

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but anyway, so clearly you need to find the values of sin(A) and cos(A)

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one of them should be trivial to find

river otter
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ohh i mixed them up sorry

blazing grove
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you evidently did.

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but anyway, you now find cos(A) since it's clear what sin(A) is

river otter
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cos a is 3/5

blazing grove
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no

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cos is negative in the 3rd quadrant

river otter
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oh so -3/5

blazing grove
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,calc sqrt(1-(4/5)^2)

true widgetBOT
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Result:

0.6
blazing grove
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yes

river otter
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so sin a should=24/25

blazing grove
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no......

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sin(A)=-4/5...

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you want sin(2A)

river otter
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i thought there was a 2 infront of sin

blazing grove
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which is wrong. You likely meant to write sin(2A)=24/25

river otter
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oh yeah

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so sin2a=24/25

blazing grove
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yes

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now repeat similar processes for the rest