6. (5 points) Determine the exact value of sin (pi/12)
1)First break sin(pi/12) into the subtraction of two degrees
sin(pi/12)=sin(pi/3-pi/4)
2)Then we use the angle summation formula
sin(pi/3-pi/4)=sin(pi/3)*cos(pi/3)-cos(pi/3)*sin(pi/4)
3)After find the sin and cos of each angle given
sqrt(3)/2*sqrt(2)/2-1/2*sqrt(2)/2
4) Then simplify the equation
sqrt(6)/2-sqrt(2)/2
5) simplify the equation by combining
sqrt(6)-sqrt(2)/2
Leave a Reply