化简sin²(a-π/2)/cos(a-3π)sin(3π/2+a).
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![化简sin²(a-π/2)/cos(a-3π)sin(3π/2+a).](/uploads/image/z/1075991-23-1.jpg?t=%E5%8C%96%E7%AE%80sin%26%23178%3B%28a-%CF%80%2F2%29%2Fcos%28a-3%CF%80%29sin%283%CF%80%2F2%2Ba%29.)
化简sin²(a-π/2)/cos(a-3π)sin(3π/2+a).
化简sin²(a-π/2)/cos(a-3π)sin(3π/2+a)
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化简sin²(a-π/2)/cos(a-3π)sin(3π/2+a).
sin²(a-π/2)=cos²a
cos(a-3π)*sin(3π/2+a)=-cosa * (-cosa)=cos²a
所以sin²(a-π/2)/cos(a-3π)sin(3π/2+a)=1