Asked by ARUN
cosA=1/2 than cos4A=?
Answers
Answered by
Reiny
cos 4A
= cos^2 2A - sin^2 2A
= (cos 2A - sin 2A)(cos 2A + sin 2A)
= (cos^2 A - sin^2 A - 2sinAcosA)(cos^2 A - sin^2 A + 2sinAcosA)
from cosA = 1/2 ----> sinA = √3/2
(A = 60° or π/3)
plug the cos and sin values into my last equation and evaluate, I will leave the arithmetic up to you
= cos^2 2A - sin^2 2A
= (cos 2A - sin 2A)(cos 2A + sin 2A)
= (cos^2 A - sin^2 A - 2sinAcosA)(cos^2 A - sin^2 A + 2sinAcosA)
from cosA = 1/2 ----> sinA = √3/2
(A = 60° or π/3)
plug the cos and sin values into my last equation and evaluate, I will leave the arithmetic up to you
Answered by
Steve
cosA = 1/2
A = π/3
4A = 4π/3
cos4A = -1/2
A = π/3
4A = 4π/3
cos4A = -1/2
Answered by
Reiny
Nice!!!
Well, I always like to take those long detours.
I once went from Toronto to Niagara Falls by going all the way around Lake Ontario.
Well, I always like to take those long detours.
I once went from Toronto to Niagara Falls by going all the way around Lake Ontario.
Answered by
Steve
As Crocodile Dundee would say,
Now that's a detour! (eh?)
Now that's a detour! (eh?)
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