SOLUTION: If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º = and csc 105º = .

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Question 1170280: If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º =
and csc 105º =
.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
system%28cos%28-105%29=-0.26%2Cand%2Ccsc%28-105%29=-1.03%29

Cosecant of x means 1%2Fsin%28x%29.

cos%28105%29=0.26

1%2Fsin%28105%29=1.03

Answer by ikleyn(52900) About Me  (Show Source):
You can put this solution on YOUR website!
.

(1)  We are given cos(-105°) = -0.26.

     Cosine is an EVEN function.

     THEREFORE,  cos(105°) = cos(-105°) = -0.26.      ANSWER





(2)  We are given  csc(-105°) = -1.03,

     csc(-105°) = by the definition = 1%2Fsin%28-105%5E0%29.

     Sine is an ODD function :  sin(-105°) = - sin(105°).     (*)

     THEREFORE,  csc(105°) = 1%2Fsin%28105%5Eo%29 = due to (*) = - 1%2Fsin%28-105%5Eo%29 = - csc(-105°) = - (-1.03) = 1.03.    ANSWER

Solved.

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