Mathematics
Trigonometry

Question Description

Please help me out solving these questions.

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Section 2.3b Paper Homework NAME:______________________ For all problems, show all your work. Reduce answers to lowest terms. Then number in the brackets indicates the point value. For questions 1-3, a point P is given on the circle π‘₯ 2 + 𝑦 2 = π‘Ÿ 2 . The point is also on the terminal side of an angle πœƒ in standard position. Find the exact value of the six trigonometric functions. [8 points each] 4 √33 ,βˆ’ ) 7 7 1. 𝑃 = ( 2. 𝑃 = (βˆ’9, βˆ’7) 3. 𝑃 = (βˆ’2,10) Section 2.3b Paper Homework NAME:______________________ For questions 4-7, use the fact that the trigonometric functions are periodic to find the exact value of the given expression. Do not use a calculator. [6 points each] 4. cot 390Β° 5. csc 390Β° 6. sec 20πœ‹ 7. tan 19πœ‹ 6 For questions 8-13, use the even-odd properties to find the exact value of the given expression. Do not use a calculator. [6 points each] 8. cos(βˆ’60Β°) πœ‹ 11. sin (βˆ’ 6 ) 9. cot(βˆ’45Β°) 10. sin(βˆ’90Β°) 12. tan(βˆ’2πœ‹) 13. csc (βˆ’ 14. [4] If cos πœƒ = 0.3, find the value of cos πœƒ + cos(πœƒ + 2πœ‹) + cos(πœƒ + 4πœ‹). 15. [4] If cot πœƒ = 7, find the value of cot πœƒ + cot(πœƒ + πœ‹) + cot⁑(πœƒ + 2πœ‹). 1 6 16. If 𝑓(π‘₯) = sin⁑(π‘₯) and 𝑓(π‘Ž) = find the exact value of the following a. [4] 𝑓(βˆ’π‘Ž) b. [4] 𝑓(π‘Ž) + 𝑓(π‘Ž + 2πœ‹) + 𝑓(π‘Ž + 4Ο€) 2πœ‹ ) 3 ...
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Asirieng (732)
Rice University

Anonymous
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