#simple trig question

49 messages · Page 1 of 1 (latest)

hardy solar
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I’m feeling stupid on this one, hopefully it’s easy for you guys….

If tan(x)= sin(x)/cos(x)
And tan(x)= (5√39)/39
Why isn’t cos(x)=39?
My assignment claims that cos(x)= √39/8

fallow rivetBOT
vapid warren
frigid dune
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Cos x can’t be more than 1

hardy solar
vapid warren
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Even though the ratio of sin(x) to cos(x) is equal to (5√39)/39, it doesn't mean cos(x) is 39 since the ratio can be simplified.

vapid warren
hardy solar
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What can the ratio be simplified to

vapid warren
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It doesn't mean that cos(x) is 78 though.

hardy solar
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You’re right

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I understand that

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So what’s the best way to get cos(x) then?

frigid dune
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Use the cosecant to find the sin

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Then use the sin^2+cos*2=1

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With the quadrant of the angle

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To find cos

vapid warren
# hardy solar

If $\csc{x}=8/5$, then $\sin{x}=5/8$. Using $1-\sin^2{x}=\cos^2{x}$, you can find $\cos{x}$, and then $\tan{x}$ is just the ratio of the two.

small iceBOT
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utøpic

vapid warren
frigid dune
vapid warren
frigid dune
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Either

vapid warren
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I'm only 1006 in rapid lol

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But ok

hardy solar
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You guys have fun playing chess, I appreciate the help though, I think I got it

frigid dune
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User is badnoob314159

vapid warren
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My username's cringe lol... it's MathKing101

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I sent a friend req

frigid dune
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Sent challenge

vapid warren
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I don't see it

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Oh I have to go, maybe we can play later 🙂

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Can you challenge me to a daily game?

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That way we have time to play

frigid dune
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Ok

vapid warren
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For a daily

frigid dune
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I accepted it

vapid warren
frigid dune
vapid warren
frigid dune
vapid warren
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What's the most advanced level of math you know?

vapid warren
frigid dune
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Precalc but I read some of a calc textbook. Got to integration by parts

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Did you do mathcounts?

vapid warren
# frigid dune Did you do mathcounts?

I didn't do it this year but I did it in previous years. This year I decided not to do mathcounts because I had a lot of stuff going on at the beginning of the year. I do not have as much going on now, but it is too late to change my decision.

frigid dune
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Oh. What math r u learning?

vapid warren