SOLUTION: find the exact value of sin (pi/12)

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Question 922382: find the exact value of sin (pi/12)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

sin (pi/12) = sin ( pi/4-pi/6) ) = sin (45)· cos (30)- cos( 45)· sin (30) = (√2/2)·(√3 /2 ) - (√2/2)·(1/2)= (√6-√2)/4

..........

θ	radians	sin θ	cos θ	tan θ

0°	0	0	1	0

30°	π/6	1/2	√3/2	√3/3

45°	π/4	√2/2	√2/2	1

60°	π/3	√3/2	1/2	√3

90°	π/2	1	0	─