(cos八分之π)的四次方+(sin八分之π)的四次方的值

问题描述:

(cos八分之π)的四次方+(sin八分之π)的四次方的值

(cos八分之π)的四次方+(sin八分之π)的四次方
=[cos²π/8+sin²π/8]²-2sin²π/8cos²π/8
=1-1/2(sinπ/4)²
=1-1/2×(√2/2)²
=1-1/4
=3/4