# Trigonometry

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Crcrpuraxb

Mathematics

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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 𝑥 2 + 𝑦 2 = 𝑟 2 . The point is also on the terminal side of an angle 𝜃 in standard position. Find the exact value of the six trigonometric functions. [8 points each] 4 √33 ,− ) 7 7 1. 𝑃 = ( 2. 𝑃 = (−9, −7) 3. 𝑃 = (−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 390° 5. csc 390° 6. sec 20𝜋 7. tan 19𝜋 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(−60°) 𝜋 11. sin (− 6 ) 9. cot(−45°) 10. sin(−90°) 12. tan(−2𝜋) 13. csc (− 14. [4] If cos 𝜃 = 0.3, find the value of cos 𝜃 + cos(𝜃 + 2𝜋) + cos(𝜃 + 4𝜋). 15. [4] If cot 𝜃 = 7, find the value of cot 𝜃 + cot(𝜃 + 𝜋) + cot⁡(𝜃 + 2𝜋). 1 6 16. If 𝑓(𝑥) = sin⁡(𝑥) and 𝑓(𝑎) = find the exact value of the following a. [4] 𝑓(−𝑎) b. [4] 𝑓(𝑎) + 𝑓(𝑎 + 2𝜋) + 𝑓(𝑎 + 4π) 2𝜋 ) 3
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