[急]数学:cosA=-4⼀5,A属于(派,3⼀2派),tanB=-1⼀3,B属于(派⼀2,派),cos(A+B)?

2025-05-21 14:00:18
推荐回答(1个)
回答1:

A属于(派,3/2派),
sinA=-√1-cos^2A=-3/5
cos^2B=1/(1+tan^2B)=9/10
B属于(派/2,派),
cosB=-3√10/10
sinB=√1-cos^2B=√10/10
cos(A+B)=cosAcosB-sinAsinB
=2√10/5