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Using addition/subtraction identities, find an EXACT expression for sin (pi)/(12).

 May 15, 2015

Best Answer 

 #1
avatar+128578 
+5

sin (pi / 12) =

sin (pi/3 - pi/4)  =

sin(pi/3)cos(pi/4) - sin(pi/4)cos(pi/3) =

(√3/2)(1/√2) - (1/√2)(1/2) =

[ (√3 - 1) / 2(√2) ]

 

 May 15, 2015
 #1
avatar+128578 
+5
Best Answer

sin (pi / 12) =

sin (pi/3 - pi/4)  =

sin(pi/3)cos(pi/4) - sin(pi/4)cos(pi/3) =

(√3/2)(1/√2) - (1/√2)(1/2) =

[ (√3 - 1) / 2(√2) ]

 

CPhill May 15, 2015

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