Basic Trigonometric Identities

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2.

3.

4.

Pythagorean Identities

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2.

3.

Ex 1 Find if and is in Quadrant II.

Sol , so since if is in Quadrant II. Then

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Ex 2 Find if and is in Quadrant III.

Sol Since , and and therefore since for in Quadrant III.

Pr A Find if and .

Pr B Find if and .

Pr C Find if and .

Pr 1 Find if and .

Pr 2 Find if and .

Pr 3 Find if and .

Pr 4 Simplify the expression .

Pr 5 Simplify the expression .

Pr 6 Simplify the expression .

Pr 7 Simplify the expression for with .

Pr 8 Simplify the expression for with .

Pr 9 Use trig identities to change to .

Pr 10 Use trig identities to change to .

Pr 11 Use trig identities to change to .

Pr 12 Use trig identities to change to .

Pr 13 Use trig identities to change to .

Pr 14 Use trig identities to change to .