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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!


Cosecant of x means .




Answer by ikleyn(52905)   (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 = .

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

     THEREFORE,  csc(105°) =  = due to (*) = -  = - csc(-105°) = - (-1.03) = 1.03.    ANSWER

Solved.

All questions are answered.



RELATED QUESTIONS

Please simplify each trigonometric expression: 1. sin(40°) cos (50°)+cos (40°) sin (50°) (answered by stanbon)
Find the exact value of cos 105º by using a half-angle formula. Thank... (answered by psbhowmick)
Construct the quadrilateral MIST where MI=3.5cm, IS=6.5cm, angle M=75º,angle I=105º, and... (answered by Edwin McCravy)
If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º = and csc 105º = (answered by ikleyn)
If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º = and csc 105º = (answered by ikleyn)
You have a heptagon with the following measurements of 6 interior angles: 125º, 130º,... (answered by stanbon)
what is cos(2theta) if cos=1/3 and csc<0 (answered by lwsshak3)
If tanθ = − 8/7 and sinθ > 0 , then find sin, cos, sec, csc,... (answered by Boreal)
find the value of sin and cos if csc= -4 and cos<0 (answered by stanbon)