SOLUTION: Use the given information about &#952; to find the exact values of the following. cos(&#952;) = 56/65 where 0 < &#952; < &#960;/2: sin(2x)= sin(x/2)= cos(2x)= cos(x/2)= ta

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Question 962185: Use the given information about θ to find the exact values of the following.
cos(θ) = 56/65
where 0 < θ < π/2:
sin(2x)=
sin(x/2)=
cos(2x)=
cos(x/2)=
tan(2x)=
tan(x/2)=

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Use the given information about x to find the exact values of the following.
cosx = 56/65

where 0 < θ < π/2:
sin(2x)=2*sinx*cosx=2*33/65*56/65=3696/4225

cos(2x)=cos^2(x)-sin^2(x)=3136/4225-1089/4245=2047/4245

tan(2x)=sin(2x)/cos(2x)=3696/2047
tan(x/2)=sin(x/2)/cos(x/2)=

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