What does #sin(arccos(4))-cot(arc csc(5))# equal?

1 Answer
Shwetank Mauria
Mar 13, 2016

#sin(arccos4)-cot(arc csc5)# oes not exist.

Explanation:

ad the range of #costheta# is #[-1,1]# i.e. #costheta# can take values only between #-1# and #1# including #-1# and #1#,

#sin(arccos(4))# does not exist.

Hence #sin(arccos4)-cot(arc csc5)# oes not exist.

However, #arccsc(5)=arcsin(1/5)=11.537^o# or #168.463^o#.

Hence #cot(arc csc5)=cot11.537^o=4.899# or

#cot(arc csc5)=cot168.463^o=-4.899#

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