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(x) LHS = 2cos^2∅ - cos^4∅ + sin^4∅
= 2cos^2∅ - cos^4∅ +(1-cos^2∅)^2
= 2cos^2∅ - cos^4∅ + 1 + cos^4∅ - 2cos^2∅
= 1 = RHS
(xi) 1 - 2cos^2∅ + cos^4∅
= (1 - cos^2∅)^2
= (sin^2∅)^2 (°•° 1 - cos^2∅ = sin^2∅)
= sin^4∅ = RHS
(xii) 1 - 2sin^2∅ + sin^4∅
= (1 - sin^2∅)^2
= (cos^2∅)^2 (°•° 1 - sin^2∅ = cos^2∅)
= cos^4∅ = RHS
(x) LHS = 2cos^2∅ - cos^4∅ + sin^4∅
= 2cos^2∅ - cos^4∅ +(1-cos^2∅)^2
= 2cos^2∅ - cos^4∅ + 1 + cos^4∅ - 2cos^2∅
= 1 = RHS
(xi) 1 - 2cos^2∅ + cos^4∅
= (1 - cos^2∅)^2
= (sin^2∅)^2 (°•° 1 - cos^2∅ = sin^2∅)
= sin^4∅ = RHS
(xii) 1 - 2sin^2∅ + sin^4∅
= (1 - sin^2∅)^2
= (cos^2∅)^2 (°•° 1 - sin^2∅ = cos^2∅)
= cos^4∅ = RHS
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