If cos(a) = 2/3,find the value of cos(4a)

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Ifcos(a)=2/3,findthevalueofcos(4a)Ifcos(a)=2/3,findthevalueofcos(4a)Ifcos(a)=2/3,findthevalueofcos(4

If cos(a) = 2/3,find the value of cos(4a)
If cos(a) = 2/3,find the value of cos(4a)

If cos(a) = 2/3,find the value of cos(4a)
cos(4a) = 2[cos(2a)^2] -1 = 2[(2cos(a)^2 -1)^2] - 1
= 2[2*(2/3)^2-1]^2 - 1
= 2[2*4/9 - 1]^2 - 1
= 2[-1/9]^2 - 1
= 2(1/81) - 1
= 2/81 - 1
= -79/81

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