已知sin(π/6-x)=5/13,求cos(2π/3+2x)的值高一数学!急!
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![已知sin(π/6-x)=5/13,求cos(2π/3+2x)的值高一数学!急!](/uploads/image/z/2537884-28-4.jpg?t=%E5%B7%B2%E7%9F%A5sin%28%CF%80%2F6-x%29%3D5%2F13%2C%E6%B1%82cos%282%CF%80%2F3%2B2x%29%E7%9A%84%E5%80%BC%E9%AB%98%E4%B8%80%E6%95%B0%E5%AD%A6%21%E6%80%A5%21)
已知sin(π/6-x)=5/13,求cos(2π/3+2x)的值高一数学!急!
已知sin(π/6-x)=5/13,求cos(2π/3+2x)的值
高一数学!急!
已知sin(π/6-x)=5/13,求cos(2π/3+2x)的值高一数学!急!
cos(2π/3+2x)
=-cos[π-(2π/3+2x)]
=-cos(π/3-2x)
=-cos[2(π/6-x)]
=-[1-2sin(π/6-x)^2] (利用倍角关系)
=-[1-2×(5/13)^2]
=-119/169
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