sin4theta -cos4 theta=
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= sin⁴ theta +cos⁴ theta
= (sin²theta + cos²theta)²- 2sin²theta cos²theta
= 1-1/2(sin²2theta)²
= [ cos²theta +sin²theta =1 ]
= minimum value of sin² 2theta is 0
= sin⁴theta +cos⁴theta
= 1-0
= sin⁴theta+ cos⁴ theta =1
Hence the sin⁴ theta +cos⁴ theta is 1
I hope I am helped you
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