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keelyjm Group TitleBest ResponseYou've already chosen the best response.0
Find the exact value of sin(arctan(2)). For full credit, explain your reasoning.
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
well first try to make than tan inverse inside the bracket to sin inverse so that we get sin (sin1)
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
drawing a triangle can help you do that
 one year ago

keelyjm Group TitleBest ResponseYou've already chosen the best response.0
Drawing a triangle will help change tan1 to sin1?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
Let arctan 2 = x so, tan x = 2 /1 since you know tan x = opposite side/adjacent side make a right angled triangle with one leg =2 and other leg = 1 dw:1359734613467:dw now can you find the hypotenuse ??
 one year ago

AravindG Group TitleBest ResponseYou've already chosen the best response.0
yep :) just draw ..you will see
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
once you find the hypotenuse, find sin x.
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
because sin(arctan(2)). = sin x
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
yes, so sin x = sin (arctan 2) =...?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
thats the hypotenuse . sin ratio = opposite side / hypotenuse =... ?
 one year ago

keelyjm Group TitleBest ResponseYou've already chosen the best response.0
oh so it's 2/sqrt5
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
any doubts ?
 one year ago

keelyjm Group TitleBest ResponseYou've already chosen the best response.0
alright and what about finding the exact real value of arccos(sqrt2/2)?
 one year ago

keelyjm Group TitleBest ResponseYou've already chosen the best response.0
no I understand that now that you have to use a tiangle to solve it
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
arccos(sqrt2/2) =x cos x = sqrt2/2 = 1/sqrt 2 for what value of angle 'x' is cos x = 1/sqrt 2 its one of the standard angle....
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
also, next time please ask new question in new post...
 one year ago

keelyjm Group TitleBest ResponseYou've already chosen the best response.0
okay sorry. I am not sure how you got cos x = sqrt2/2 = 1/sqrt 2 ?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
you know unit circle ? which defines standard values of sin/cos for standard angles...
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
i suggest you learn and remember all standard angles and values..
 one year ago

keelyjm Group TitleBest ResponseYou've already chosen the best response.0
yes i know the unit circle. is that pi/4? 45 degrees?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
yes, exactly :)
 one year ago

keelyjm Group TitleBest ResponseYou've already chosen the best response.0
so pi/4 would be the exact real value?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.0
\[\arccos(\frac{\sqrt{2}}{2})\] see if you recall an angle whose cosine is \(\frac{\sqrt{2}}{2}\)
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
yes. pi/4 in radians 45 in degrees.
 one year ago

keelyjm Group TitleBest ResponseYou've already chosen the best response.0
Thank you so much!
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.2
welcome ^_^
 one year ago
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