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Unformatted text preview: . Example 4.8.5 Show that . Solution: Let and . Then and . Now, we only have to show that . . Example 4.8.6 Solve . Solution: Let and . Then and . The equation now is . Taking the cosine of both sides, we have . Checking: If , then , . Therefore, . HalfMeasure Identities Let be any real number. Then 1) 2) 3) Proof of 1): Let be any real number. Then . Example 4.8.7 Find the exact value of . Solution: . Example 4.8.8 Find the value of sine, cosine and tangent of given that and terminates at QII. Solution: . Then, and are all positive. Why? . Example 4.8.9 Prove/Verify that . Proof: . Exercises: A. Find the value of , and , given: B. Prove/Verify: C. Find the values of sine, cosine and tangent of: D. Find the values of sine, cosine and tangent of: E. Prove/Verify: F. Prove...
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This note was uploaded on 05/13/2011 for the course MATH 17 taught by Professor Dikopaalam during the Spring '11 term at University of the Philippines Los Baños.
 Spring '11
 dikopaalam
 Math

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