sin(2*pi) - not pie - is the same as sin(0) = 0
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Sin(pi/6) = 1/2 is a true statement [not pie].
0.75
1/3
First of all it is NOT 'pie' . 'Pie' is the foodstuff that you eat e,g, apple pie, meat pie. The Mathemtical 'pi' is spelled as 'pi' and is from the Classical Greek alphabet, and represent the small /lower case letter 'p'. To answer your question. Set your calculator in RADIAN Mode. Sin(pi/3) sqrt(3) /2 = 0.8660254.... NB You will have an incorrect answer if your calculator is set in 'DEGREE' Mode.
sin(3A) = sin(2A + A) = sin(2A)*cos(A) + cos(2A)*sin(A)= sin(A+A)*cos(A) + cos(A+A)*sin(A) = 2*sin(A)*cos(A)*cos(A) + {cos^2(A) - sin^2(A)}*sin(A) = 2*sin(A)*cos^2(A) + sin(a)*cos^2(A) - sin^3(A) = 3*sin(A)*cos^2(A) - sin^3(A)