Trig Value Chart by π/12

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The chart gives the values of the trig value by π/12 increments. One should learn the Unit Circle values which match π/6, π/4, π/3, π/2, 2π/3, 3π/4, 5π/6, π, 7π/6,5π/4, 4π/3, 3π/2, 5π/3, 7π/4, 11π/6, 2π,. You will notice a pattern.
Table shows values to learn well, purple line can give intermediate coordinates. Check boxes select function to display. Reciprocal functions are beside each other.