已知π⼀4<α<π⼀2,若sin2α=3⼀5,求cos^2α的值

2025-06-20 15:44:15
推荐回答(1个)
回答1:

因为
cos2a = 2cos²a -1
cos²a =( cos2a +1)/2
cos²2a = 1- sin²2a= 1-(3/5)² = 16/25
cos2a = -4/5
所以

cos²a =( cos2a +1)/2 = (-4/5+1)/2= 1/10