SOLUTION: Use the characteristics of f(t) = sin t to find the value of sin t when t=-21π/4 I badly need your help :-( as I dont really know how to solve this. here are the choices to

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Question 1079851: Use the characteristics of f(t) = sin t to find the value of sin t when t=-21π/4 I badly need your help :-( as I dont really know how to solve this.
here are the choices to choose from
a. sin t = 0
b. sin t = 1
c. sin t = -√2/2
d. sin t = √2/2

Found 3 solutions by MathLover1, MathTherapy, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

,find the value of when

answer:
d.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Use the characteristics of f(t) = sin t to find the value of sin t when t=-21π/4 I badly need your help :-( as I dont really know how to solve this.
here are the choices to choose from
a. sin t = 0
b. sin t = 1
c. sin t = -√2/2
d. sin t = √2/2
 is in the 3rd quadrant, but  is in the 2nd quadrant, and has a REFERENCE angle of . 
Thus,
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
The angle  is geometrically equivalent to  =  = ,


which, in turn, is geometrically equivalent to

 =  = ,


which, in turn, is simply the same as .


The function sine is periodical with the period of , therefore,


 =  =  =  = .

Solved.



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