(sin²80°-sin²10°)²+cos²70°的值为多少?

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(sin²80°-sin²10°)²+cos²70°的值为多少?(sin²80°-sin²10°)²+cos²70°的值

(sin²80°-sin²10°)²+cos²70°的值为多少?
(sin²80°-sin²10°)²+cos²70°的值为多少?

(sin²80°-sin²10°)²+cos²70°的值为多少?
(sin²80°-sin²10°)²+cos²70°
=(cos²10°-sin²10°)²+cos²70°
=(cos20°)²+cos²70°
=cos²20°+cos²70°
=sin²70°+cos²70°
=1

原式=(cos²10°-sin²10°)²+cos²70°
=cos²20°+cos²70°
=sin²70°+cos²70°
=1