1330 HW24 (4.4 identities)

1330 HW24 (4.4 identities) - Math 1330 Homework 24 (4.4...

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Unformatted text preview: Math 1330 Homework 24 (4.4 identities) Record your answers to all the problems in the EMCF titled “Homework 24.” Establish an identity. Convert the expression on the left to one of the expressions on the right. Each expression is used only once. A. 1 + tan (θ − π ) 1 + cot (θ + 2π ) cos ( −θ ) cot ( −θ ) + sin ( −θ ) 6. 1 + sec θ 1 − sec θ sin θ 1 − cos θ B. − cos θ C. 1. tan θ 2 sin 2 θ D. − cot 2 θ 2 3. 4. (1 − cos θ ) ( csc θ + cot θ ) sin θ ( cot θ + tan θ ) 1 − sin θ 2 cos θ − 1 7. 1− E. sin θ 8. sin θ cos ( −θ ) − 1 F. sec θ cos θ 1 + sin θ + 1 + sin θ cos θ G. 2 sec θ H. 2. − csc θ I. 1 + cos θ − sin θ J. cos θ + 1 cos θ − 1 9. 2 5. 10. tan θ − cot θ +1 tan θ + cot θ Establish an identity. Convert the expression on the left to one of the expressions on the right. The expressions on the right may be used more than once, once, or not at all. 11. 1 − sin 2 θ csc 2 θ − 1 D. 2 E. sin2 θ csc θ G. sec2 θ H. − cot θ I. sec θ J. 15. −1 F. 14. 1 C. 13. 0 B. 12. A. 2 sec θ (1 + tan θ ) cos θ 2 tan θ − sec 2 θ tan θ ( tan θ + cot θ ) ( sin θ ) ( cos θ ) ( tan θ + cot θ ) cos θ 16. ( sin θ + cos θ ) 17. 1 1 + sec θ + tan θ sec θ − tan θ 2 + ( sin θ − cos θ ) 18. sin θ cos θ + cos θ 1 + sin θ 19. ( cot θ + csc θ ) ( cot θ − csc θ ) 20. sin 2 θ + cos 2 θ + tan 2 θ 2 ...
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This note was uploaded on 02/20/2012 for the course MATH 1330 taught by Professor Staff during the Fall '08 term at University of Houston.

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1330 HW24 (4.4 identities) - Math 1330 Homework 24 (4.4...

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