化简(sin^2(80)-sin^2(10))^2+cos^2(70)的值为

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化简(sin^2(80)-sin^2(10))^2+cos^2(70)的值为

(sin^2(80)-sin^2(10))^2+cos^2(70)
=(cos^2(10)-sin^2(10))^2+cos^2(70)
=(cos20)²+cos²70
=cos²20+sin²20
=1

(sin^2(80)-sin^2(10))^2+cos^2(70)
=(cos^210-sin^2(10))^2+cos^2(70)
=(2cos^210-1)^2+cos^2(70)
=cos^2(20)+cos^2(70)
=sin^2(70)+cos^2(70)
=1