5:
a: sin x=2*cosx
\(A=\dfrac{6cosx+2cosx-4\cdot8\cdot cos^3x}{cos^3x-2cosx}\)
\(=\dfrac{8-32cos^2x}{cos^2x-2}\)
b: VT=sin^4(pi/2-x)+cos^4(x+pi/2)+6*1/2*sin^22x+1/2*cos4x
=cos^4x+sin^4x+3*sin^2(2x)+1/2*(1-2*sin^2(2x))
=1-2*sin^2x*cos^2x+3*sin^2(2x)+1/2-sin^2(2x)
==3/2=VP
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