The addition formulas for the sine and cosine are given by

The addition formulas for the tangent are given by

Ex 1 Find using an addition formula.

Sol .

Ex 2 Find using an addition formula.

Sol .

Pr 1 Find using an addition formula.

Pr 2 Find using an addition formula.

Pr 3 Find using an addition formula.

Pr 4 Use an addition formula to simplify .

Pr 5 Use an addition formula to simplify .

Pr 6 Find using an addition formula.

Pr 7 Use the addition formulas to simplify the expression

Pr 8 Find the smallest positive angle between the lines with equations and .
Go to Solutions.

Lawrence Marx 2002-07-11