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

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

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

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

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2Let 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 ??

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

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

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

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

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

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

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

hartnn
 one year ago
Best ResponseYou've already chosen the best response.2arccos(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....

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

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

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

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

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

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

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

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