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Trigonometry Final Review 1. Find a positive co-terminal angle in degrees a) 100 b) 4 2. Find a negative co-terminal angle in radians a) 210 b) 6 12. Solve between 0 360 a) cos 2 x 3 cos 2 x b) 2sin 2 x 3sin x 1 0 13. If the cos( ) cos ( u/2 ) 3. Sketch a) 160 4. Convert to the opposite form. 2 a) 9 5. Simplify/Verify: sec tan cot a) sin b) b) 4radians 14. Sketch the appropriate triangle and find the missing pieces. A 17 , b 119, c 52 b) 10 15. Sketch the appropriate triangle and find the missing pieces. a 8, b 19, c 12 tan x sin x csc x tan x 16. Find the area of #14 and #15. 17. Simplify: c) csc y cos 2 y sin y sin y d) 1 tan sec sin 6. Solve between 0 360 1 a) sin(2 ) b) tan 30 1 2 2 7. If the sin( ) and . 6 in quadrant I; find sin 2u and 7 4 in quadrant I; find the cos( ) 7 8. Graph clearly labeling all the critical values. y 4sin 2 1 9. Graph clearly labeling all the critical values. y 3 tan 1 2 10. Graph clearly labeling all the critical values. y 3csc 2 4 11. Simplify. a) sec2 cot cot b) sec x tan x csc x 1 csc x tan x cot x 18. A vector v has initial point (5, -1) and terminal point (2,3). Find its component form, its magnitude, write as a unit vector and find its directed angle. 19. If u 1, 4 and v 5,2 , find the angle between u and v. 20. Find the component form of a vector v with magnitude 8 and an angle of 60 degrees. 21. Find the Cos 165 using the sum formula.