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6.4 answers. 1-6. 7-18. 7. Tan = 4/3, csc=5/3, sec=5/4 8. Tan= -7/24, csc= -25/7, sec= 25/24, cot= -24/7 9. sin=-15/17, cos= -8/17, tan =15/8, cot= 8/15 10. Sin = ½, cos=-√3/2, tan = -1/√3, cot= -√3 11. sin= 5/13, cos= 13/5, cot=12/5, sec=13/12 12. cos=-4/5, tan= -3/4, csc= 5/3, sec= -5/4
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7-18 7. Tan = 4/3, csc=5/3, sec=5/4 8. Tan= -7/24, csc= -25/7, sec= 25/24, cot= -24/7 9. sin=-15/17, cos= -8/17, tan =15/8, cot= 8/15 10. Sin = ½, cos=-√3/2, tan = -1/√3, cot= -√3 11. sin= 5/13, cos= 13/5, cot=12/5, sec=13/12 12. cos=-4/5, tan= -3/4, csc= 5/3, sec= -5/4 13. cos= 4/5, tan = -3/4, csc=-5/3, sec=5/4 14. cos= -5/13, tan=12/5, csc= -13/12, cot=5/12 15. Sin= -3/5, tan=3/4, csc=-5/3, sec=-5/4, cot=4/3 16. s=24/25, t=24/7, csc= 25/24, sec=25/7, cot=7/24 17. -1 18. -√2
6.6: Inverse Trig Functions January 13, 2008
Objectives • Review inverse functions • Define and use: • Inverse sine • Inverse cosine • Inverse tan • Solve triangles and equations
Review of Inverse • f-1 will undo f • f(x) = 2x has an inverse of f-1 (x/2)
Inverse sine • y = sin-1 x or y = arcsin • x= sin y for -1 ≤ x ≤ 1 in the interval [-π/2, π/2]
Inverse cosine • y = cos-1 x or y = arccos • x= cos y for -1 ≤ x ≤ 1 in the interval [0, π]
Inverse Tangent • y = tan-1 x or y = arctan • in the interval [-π/2, π/2]