ULUS WRITTEN WORK #3 NAME SECOND GRADING, 1" SEMESTER GRADE & SECTION: DATE: General Instructions: This is a Quiz worth 30 points from module 6, Detach the 2 pages and staple them together. pages. Don't Forget to write your name grade and section on the upper left comer of the next ALL final answers should be written in blue or black ink only. Strictly NO any kind of ERASURE or change in answer, NO superimposition on final answers, 1. TRUE OR FALSE: Write True if the statement is always true otherwise, write False. Write your answer on the space before each number. (10 points) 1. The horizontal line test provides a quick way to tell whether or not the inverse of a function is also a function. 2. The inverse sine function has a range - " s 0 s " 3. Arceos (-)=-120. 4. The sine function is one-to-one on the interval (- " . "] 5. The largest positive value of y = arcsin x is 1. 6. In the notation sin 1 x, the superscript -1 denotes an inverse function. 7. The inverse cosine function has a domain of [-1, 1] and a range of [0, - m]. 8. The inverse tangent function gives an angle on the upper half of the unit circle. 9. The inverse tangent function has a domain (-co, +co) and the range - ". "]. 10. csc 1 x =- sin 1 x II. FILL IN THE BLANK: Fill in the blank with the correct mathematical expression. Choose from the box. Choices may be repeated. (10 points) sin x y = arcsin x [-1, 1] [0, It ] 0 (zero) - TT y = x y = arccos x 11. The values of arcsin x lie in the interval 12. The other notation for arcsin x is 13. The sine function has a unique inverse function on the restricted domain 14. The cosine function becomes one-to-one on the intervalNAME: GRADE & SECTION: page 142 15. The domain and range of y = arccos x are and respectively. 16. The equation refers to the number y (or angle in radian measure) between and whose cosine is x. 17. The graph of y = sin 1x can be obtained by reflecting the graph of the one-to- one sine function on the line III. MATCHING TYPE: Match the expression in column A with its exact value in column B. Letters only. (10 points) A B 18. arcsec(-V2) A. 19. sec -1(-1) B. -10 20. arctan(-1) C. 0 21. arcese ( cse-) 3 D. - B 22. cot(cot-1(-10)) E. 4 23. sec 1 (- tan 3) F. - V95 7 24. esc ( cse-1 (-)) 25. tan cos-1 (-) ) H. - 3 10 20 26. cos sin ()) 1. TE 27. tan ( sin - (-;) ) 4 K. - TI