#Trig

66 messages · Page 1 of 1 (latest)

weary prism
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How would i solve
Cosx (cosx + 1) = 0 0 < x < 360
idk if that's the exact question but I had it earlier and could not figure it out

polar ocean
weary prism
weary prism
distant basin
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then use facts about cos to work out subsequent solutions in the given range

weary prism
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yeah i looked a little online and found out, but im still not sure how 270 is a solution, unless the answer book thing is wrong

weary prism
distant basin
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=270

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or just look at cos

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and when your y=0

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it crosses twice

weary prism
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oh right, wait, would 0 be considered a positive then when looking at the cast diagram?

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x = 90, 270, 360?

distant basin
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don't use cast

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just don't

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it's not worth the effort

weary prism
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at least the way my teacher taught it

weary prism
distant basin
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it ends up being easier

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and there's just rules you can learn

weary prism
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ehh, cast isnt too hard for me ig

distant basin
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to skip using cast entirely

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like I know tan will always repeat 180

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sin is 180-theta

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Cos is 360-theta

weary prism
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yeah

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u good at compound angles?

distant basin
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I can do it

weary prism
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u think u could help me with one, its a proof but with a triangle that isnt 90 degrees

distant basin
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I can try lmao

weary prism
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alr, one sec lemme get it

distant basin
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whether I can do it tho different story

weary prism
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its not the best pic cus its on a textbook but its 3(b)

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unless im stupid, no clue how to do it

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oh wait, this is double angles not compound, my bad

distant basin
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pft

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not a clue sorry

weary prism
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nah its fine lmao

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its a tricky one

polar ocean
weary prism
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yoo i got close kinda, cos2alpha = 7/25

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@thick skiff

polar ocean
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3a?

weary prism
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no, 3b

polar ocean
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Well B is 180-2a

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I presume we use 90-a

weary prism
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dont have a

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its non calc

thick skiff
thick skiff
polar ocean
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Well cos(90-a) is 6/10

weary prism
polar ocean
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So square it double it minus 1

weary prism
polar ocean
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Cos(2A)=2cos(A)^2 - 1 where A = 90-A

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cos(180-2α) = -cos(2α)
sin(2α) = 24/25 so cos(2α) = 7/25
So cos(β) = -7/25

weary prism
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am i dmb or something, did not know that cos(180-2a) = -cos2a

polar ocean
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You can look at the unit circle