SOLUTION: Use the given information to evaluate each expression. (Enter your answers in exact form.)
cot s = 9 with π < s < 3π/2
a.) sin 2s
b.) cos 2s
c.) tan 2s
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-> SOLUTION: Use the given information to evaluate each expression. (Enter your answers in exact form.)
cot s = 9 with π < s < 3π/2
a.) sin 2s
b.) cos 2s
c.) tan 2s
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Question 808185: Use the given information to evaluate each expression. (Enter your answers in exact form.)
cot s = 9 with π < s < 3π/2
a.) sin 2s
b.) cos 2s
c.) tan 2s
You can put this solution on YOUR website! Use the given information to evaluate each expression. (Enter your answers in exact form.)
cot s = 9 with π < s < 3π/2
Given angle s is in quadrant III, where sin<0, cos<0, tan>0
Hypotenuse of reference right triangle=√(1^2+9^2)=√(1+81)=√82
sin s=-1/√82=-√82/82
cos s=-9/√82=-9√82/82
tan s=1/9
..
a.) sin2s=2sin(s)cos(s)=2(-√82/82)(-9√82/82)=1476/6724
b.) cos2s=cos^2(s)-sin^2(s)=81/82-1/82=80/82
c.) tan2s=2tan(s)/(1-tan^2(s)=2/9/(1-1/81)=(2/9)/(80/81)=18/80