Multiple-angle formulas for

are found to contain binomial coefficients multiplying the powers

, with odd

in the numerator and even

in the denominator. The binomial coefficients, corresponding to the numbers of the

row of Pascal's triangle, occur in the expression in a zigzag pattern (i.e. coefficients at positions

are in the denominator, coefficients at the positions

are in the numerator, or vice versa), following the binomials in row

of Pascal's triangle in the same order. In this Demonstration, corresponding coefficients are shown with the same color in both the tangent function expression and Pascal's triangle.