mac1147_lecture17_1_b

mac1147_lecture17_1_b - 235 b a c L17 Complementary Angles;...

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Unformatted text preview: 235 b a c L17 Complementary Angles; Cofunctions; Trigonometric Functions of Angles 4 , 6 , 3 ; Trigonometric Functions of General Angles Two acute angles are called complementary if their sum is the right angle. Example: Find the complementary angles for: (a) 50 (b) 2 7 (c) 6 Note : In a right triangle, 90 + = , therefore, and are complementary. Also, sin cos b c = = cos sin a c = = tan cot b a = = csc sec c b = = sec csc c a = = cot tan a b = = The functions sine & cosine, tangent & cotangent, and secant & cosecant are called cofunctions of each other. 236 Complementary Angles Theorem Cofunctions of complementary angles are equal. Note : The angles and 90 are complementary, therefore, the theorems statement can be written as Function ( ) = Cofunction (90 ) Or Function ( ) = Cofunction ( ) 2 Example : Use the Complementary Angle Theorem to fill in the blank spaces: sin10 cos = _____ cos30 sin = _____ tan cot 4 = _____ csc sec 6 = _____ Example : Find the exact values of the expressions. tan56 cot34 = 5 sin cos 12 12 = 237 The Trigonometric Functions of Angles 4 , 6 , 3 45 4 = = sin 4 = csc 4 = cos 4 = sec 4 = tan 4 = cot 4 = Example : Find the exact value of the expression....
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This note was uploaded on 11/07/2011 for the course MAC 1147 taught by Professor German during the Summer '08 term at University of Florida.

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mac1147_lecture17_1_b - 235 b a c L17 Complementary Angles;...

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