计算cos[arccos(-3/5)+arcsin(-5/13)] 求详解

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计算cos[arccos(-3/5)+arcsin(-5/13)]求详解计算cos[arccos(-3/5)+arcsin(-5/13)]求详解计算cos[arccos(-3/5)+arcsin(-5

计算cos[arccos(-3/5)+arcsin(-5/13)] 求详解
计算cos[arccos(-3/5)+arcsin(-5/13)] 求详解

计算cos[arccos(-3/5)+arcsin(-5/13)] 求详解
t1=arccos(-3/5),t2=arcsin(-5/13) t1属于0到Pi,t2属于-Pi/2到Pi/2
cos(t1)=-3/5,sin(t2)=-5/13
所以sin(t1)=4/5,cos(t2)=12/13
cos(t1+t2)=cos(t1)cos(t2)-sin(t1)sin(t2)=-36/65+20/65=-16/65