How do you simplify Sin pi/12 times Cos pi/12? Trigonometry Right Triangles Trigonometric Functions of Any Angle 1 Answer Nghi N. Mar 26, 2016 #(1/2)sin (pi/6)# Explanation: Apply the trig identity: sin 2a = 2sin a.cos a #sin (pi/12).cos (pi/12) = (1/2)sin (pi/6)# Answer link Related questions How do you find the trigonometric functions of any angle? What is the reference angle? How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? What is the reference angle for #140^\circ#? How do you find the value of #cot 300^@#? What is the value of #sin -45^@#? How do you find the trigonometric functions of values that are greater than #360^@#? How do you use the reference angles to find #sin210cos330-tan 135#? How do you know if #sin 30 = sin 150#? How do you show that #(costheta)(sectheta) = 1# if #theta=pi/4#? See all questions in Trigonometric Functions of Any Angle Impact of this question 4383 views around the world You can reuse this answer Creative Commons License