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8. Given sec0 = -6, sketch the angle in standard position and find csco and tan 0, where 0 terminates in quadrant III. 5 pts

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8. Given sec0 = -6, sketch the angle in standard position and find csco and tan 0, where 0 terminates in quadrant III. 5 pts 9. Find the exact value. 10 pts (a) tan (b)arccos (--z) (c) arctan (tan (-") ) 10. Verify the following trigonometric identity. Justify each step with the identity or property you used. 5 pts sin 0 . cos 0 = tan 0 - tan0 . sin20 Page 4 of 7\f12. Given the polynomial function: 10pm h(x) = 336'9 7x3 - 18x2 + 28x + 24- a) List the possible rational zeroes of Mx). b) Use long division or synthetic division to show that 3 is a zero ofthe given function. c) Find the remaining zeros. d) Write the complete linear factorization of Mx). Page 6 of7 13. Given 4x 33/ = 8, write the equation ofthe line perpendicular to the given line and that passes through the points (-12, 5). 5pm 14. Use the graph of g(x) to answer each question. 5 p1: (a) Find the domain and range of got). Write the answers in interval notation. Domain: Range: (b) Evaluate g( 3). (c) On which interval(s) is the graph increasing, decreasing, or constant? Inc reasin g: Decreasing: Constant: (d) What are the x- and y-intercepts of the graph? Page 7 of

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