Question 802950: What is the sin and cos for 26(pie)/3 , 17(pie)/4 , and 34(pie)/3?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! What is the sin and cos for 26(pie)/3 , 17(pie)/4 , and 34(pie)/3?
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26π/3=24(π/3)+2(π/3)=8π+2π/3
This is like rotating counter clockwise 8π around a unit circle plus an additional 2π/3 which places the reference angle of 2π/3 in quadrant II where sin>0 and cos<0.
sin(26π/3)=sin(2π/3)=√3/2
cos(26π/3)=cos(2π/3)=-1/2
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17π/4=16(π/4)+(π/4)=4π+π/4
This is like rotating counter clockwise 4π around a unit circle plus an additional π/4 which places the reference angle of π/4 in quadrant I where sin>0 and cos>0.
sin(17π/4)=sin(π/4)=√2/2
cos(17π/4)=cos(π/4)=√2/2
..
34π/3=33π/3)+(π/3)=11π+π/3
This is like rotating counter clockwise 11π around a unit circle plus an additional π/3 which places the reference angle of π/3 in quadrant III where sin<0 and cos<0.
sin(34π/3)=sin(π/3)=-√3/2
cos(34π/3)=cos(π/3)=-1/2
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