已知tana=-3⼀4,求2+sinacosa-cos^2a的值。详细过程

2025-01-31 08:56:28
推荐回答(1个)
回答1:

2+sinacosa-cos^2a
=2(sin^2a+cos^2a)+sinacosa-cos^2a
=2sin^2+sinacosa+cos^2a
=[2sin^2a+sinacosa+cos^2a]/(sin^2a+cos^2a)
=(2tan^2a+tana+1)/(tan^2a+1),(分子分母同除以cos^2a)
=(2*9/16-3/4+1)/(1+9/16)
=22/25