Section 4.4 handout ann_1

Section 4.4 handout ann_1 - Section 4.4 Trigonometric...

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Unformatted text preview: Section 4.4 Trigonometric Functions of Any Angle, Page 1 Section 4.4 Trigonometric Functions of Any Angle, Page 1 Section 4.4 Trigonometric Functions of Any Angle, Page 2 Section 4.4: Trigonometric Functions of Any Angle 1) Definitions: The Trigonometric Functions of Any Angle . a. If P ( x , y ) is a point on the terminal side of θ , an angle whose vertex is at the origin, then the trigonometric functions are defined as: sin θ = y / r csc θ = r / y cos θ = x / r sec θ = r / x tan θ = y / x cot θ = x / y where r = ( x 2 + y 2 ) 1/2 b. Example 1 : Let P ( x, y ) = (–5, 7), find sin θ . Step 1 . Find r using the Pythagorean Theorem. Step 2 . Find sin θ using the definitions above. 2) The Signs of Trigonometric Functions . a. Since sin θ = y/r , the sign of sin θ depends on the sign of y . Sin θ is positive when y i s positive and negative when y is negative....
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This note was uploaded on 04/07/2008 for the course MTH MTH162 taught by Professor Bundick during the Spring '08 term at VCCS.

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Section 4.4 handout ann_1 - Section 4.4 Trigonometric...

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