sin10°=a,3/sin²40°-1/cos²40°的值
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sin10°=a,3/sin²40°-1/cos²40°的值sin10°=a,3/sin²40°-1/cos²40°的值sin10°=a,3/sin²
sin10°=a,3/sin²40°-1/cos²40°的值
sin10°=a,3/sin²40°-1/cos²40°的值
sin10°=a,3/sin²40°-1/cos²40°的值
3/sin²40°-1/cos²40°=(3cos²40°-sin²40°)/sin²40°cos²40°
=4(√3cos40°+sin40°)(√3cos40°-sin40°)/sin²80°
=32((√3/2cos40°+1/2sin40°)(√3/2cos40°-1/2sin40°)/2sin²80°
=32sin(60°+40°)sin(60°-40°)/(1-cos160°)
=32sin100°sin20°/(1+cos20°)
=64cos²10°sin10°/(2cos²10°)
=32sin10°
=32a
sin10°=a,3/sin²40°-1/cos²40°的值
已知Sin10°=α,求3/Sin²40°-1/Cos²40°
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推理与证明观察①sin²10°+cos²40°+sin10°cos40°=3/4②sin²6°+cos²36°+sin6°cos36°=3/4由上面两题的结构规律,你能否提出一个猜想?并证明你的猜想.PS:如果觉得证明不好写,就写个思路吧,
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