<prompt> Kamafracsin4 thetaa fraccos4 thetab frac1a b,kisha tafuta thamani yafracsin8 thetaa3 fraccos8 thetab3kwa mujibu wa a na b.  <response>: Acha x sin2 theta na y cos2 theta, hivyo x y 1. Pia,fracx2a fracy2b frac1a b.Kubadilisha y 1 - x, tunapatafracx2a frac1 - x2b frac1a b.Hii hurahisishaa2 2ab b2 x2 - 2a2 2ab x a2 0, ambayo huzingatia vyema kama a b x - a 2 0. Kwa hivyo, a bx - a 0, hivyo x fracaa b.Kisha y fracba b, hivyoanzaalignfracsin8 thetaa3 fraccos8 thetab3 fracx4a3 fracy 4b3 fraca4a b4a3 fracb4a b4b3 fracaa b4 fracba b4 fraca ba b4 frac1a b3.mwishopanga 