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Name _____________________________________________ Algebra II & Trigonometry A2.A.55 A2.A.59 A2.A.62 Date _____________________________________ Reciprocal Trig Functions Express and apply the six trigonometric functions as ratios of the sides of a right triangle Use the reciprocal and co-function relationships to find the value of the secant, cosecant, and cotangent of 0º, 30º, 45º, 60º, 90º, 180º, and 270º angles Find the value of trigonometric functions, if given a point on the terminal side of angle In 1 – 12, write each expression in terms of sin , cos , or both. Simplify wherever possible. 1. tan 2. cot 3. sec 4. csc 7. 10. 5. tan csc tan sec 8. tan cot 11. cos sec sec cot 6. cot csc 9. sin csc 12. sec csc In questions 13 – 18, use the triangle below to find the trigonometric value from the question. 13. sin A 14. csc A 15. cot A 16. sec A 17. tan A 18. cos A 19. If x is the measure of an angle in standard position and its terminal side passes through the point (–5, 12), find the exact value of: (a) cos x (b) sin x (c) tan x (d) sec x (e) csc x In 20 – 27, find the exact numerical value of each expression. 20. csc 150 21. sec 240 24. sec 2 23. csc 120 26. csc 22. cot 315 3 2 27. sec 25. cot 6 5 4 28. If is an angle in standard position and its terminal side passes through the point (4, 3), find: (a) cot (b) tan (c) cos (d) csc (e) sec 29. Given that A is an angle in standard position and the terminal side of angle A passes through the point (5, –2), what is the exact value of: (a) sin (b) tan (c) cos (d) csc (e) sec 19. Copy and complete the following table into your homework notebook. If a function is undefined for an angle measure, write “undefined.” sin cos tan sec csc cot 0 30 45 60 90`