sin⁴X+cos⁴X
=(sin²X+cos²X)²-2sin²Xcos²X
=1-1/2(2sinXcosX)²
=1-1/2sin²2X
=1-1/2(1-cos²2X)
=1-1/2+1/2*(3/5)²
=1/2+1/2*9/25
=17/25
sin⁴X+cos⁴X
=(sin²X+cos²X)²-2sin²Xcos²X
=1-1/2(2sinXcosX)²
=1-1/2sin²2X
=1-1/2(1-cos²2X)
=1-1/2+1/2*(3/5)²
=1/2+1/2*9/25
=17/25