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Unformatted text preview: x ) + sin( x )tan( x ) to one trigonometric function. 4. Let α be an angle such that cot( α ) =3 and cos( α ) < 0. (a) Which quadrant does α lie in? (b) Is csc( α ) positive or negative? (c) Use a fundamental identity to Fnd the exact value of csc( α ). (d) Use a fundamental identity to Fnd the exact value of sin( α ). 5. ±ind the exact value of sin ( φ + π 4 ) if sin( φ ) = 3 5 and cos( φ ) = 4 5 . ( Hint : sin ( π 4 ) = 1 √ 2 and cos ( π 4 ) = 1 √ 2 ) 6. Let β be an angle such that π < β < 3 π 2 and cos( β ) =. 58. (a) Which quadrant does β/ 2 lie in? (b) Find the exact value of cos( β/ 2). (c) Find the exact value of sin( β/ 2). 7. Verify that sin( x )cos( x ) sin( x )cos( x ) = sec( x )csc( x ) . 15...
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 Fall '08
 KWON
 Math, Trigonometry, Cos, exact value

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