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Use an identity to find the exact value of cos pi/12. -Please state the identity used, thanks in
advance.
Solution
cos(pi/12) = cos(pi/3 -pi/4)
Now use identity: cos(A-B) = cosAcosB +sinAsinB
cos(pi/12) = cos(pi/3 -pi/4) = cospi/3*cospi/4 +sinpi/3sinpi/4
= (1/2)(1/sqrt2) +( sqrt3/2)(1/sqrt2)
= ( 1+sqrt3)/2sqrt2

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Use an identity to find the exact value of cos pi12. -Please state .pdf

  • 1. Use an identity to find the exact value of cos pi/12. -Please state the identity used, thanks in advance. Solution cos(pi/12) = cos(pi/3 -pi/4) Now use identity: cos(A-B) = cosAcosB +sinAsinB cos(pi/12) = cos(pi/3 -pi/4) = cospi/3*cospi/4 +sinpi/3sinpi/4 = (1/2)(1/sqrt2) +( sqrt3/2)(1/sqrt2) = ( 1+sqrt3)/2sqrt2