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keelyjm
 2 years ago
help with inverse trig functions?
keelyjm
 2 years ago
help with inverse trig functions?

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

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

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

hartnn
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0yep :) just draw ..you will see

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

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

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

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

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

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

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

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

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

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

satellite73
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.2yes. pi/4 in radians 45 in degrees.
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