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# Trigonometry Examples

Pascal's Triangle can be displayed as such:

The triangle can be used to calculate the coefficients of the expansion of by taking the exponent and adding . The coefficients will correspond with line of the triangle. For , so the coefficients of the expansion will correspond with line .

The expansion follows the rule . The values of the coefficients, from the triangle, are .

Substitute the actual values of and into the expression.

Multiply by .

Apply the product rule to .

Raise to the power of .

Anything raised to is .

Multiply by .

Apply the product rule to .

Raise to the power of .

Multiply by .

Evaluate the exponent.

Multiply by .

Apply the product rule to .

Raise to the power of .

Multiply by .

Raise to the power of .

Multiply by .

Apply the product rule to .

Raise to the power of .

Multiply by .

Raise to the power of .

Multiply by .

Apply the product rule to .

Raise to the power of .

Multiply by .

Raise to the power of .

Multiply by .

Simplify.

Multiply by .

Raise to the power of .

Multiply by .

Multiply by .

Apply the product rule to .

Anything raised to is .

Multiply by .

Anything raised to is .

Multiply by .

Raise to the power of .