tanπ8-cotπ8的值为．

Question

tan(π)/(8)-cot(π)/(8)的值为______．

Answer 1

∵tan(π)/(8)-cot(π)/(8)=(sin((π)/(8)))/(cos((π)/(8)))−(cos((π)/(8)))/(sin((π)/(8)))=(−cos ((π)/(4)))/((1)/(2)sin ((π)/(4)))=-2，
∴答案为：-2．