11 x1 t08 03 angle between two lines (2013)

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<ul><li> 1. Angle Between Two Lines</li></ul> <p> 2. Angle Between Two Linesyx 3. Angle Between Two Linesyx1l1 4. Angle Between Two Linesyx1l11 1 1has slope tanl m 5. Angle Between Two Linesyx1l11 1 1has slope tanl m 2l2 6. Angle Between Two Linesyx1l11 1 1has slope tanl m 2l22 2 2has slope tanl m 7. Angle Between Two Linesyx1l11 1 1has slope tanl m 2l22 2 2has slope tanl m 8. Angle Between Two Linesyx1l1 2 (exterior ) 11 1 1has slope tanl m 2l22 2 2has slope tanl m 9. Angle Between Two Linesyx1l1 2 (exterior ) 1 2 11 1 1has slope tanl m 2l22 2 2has slope tanl m 10. Angle Between Two Linesyx1l1 2 (exterior ) 1 2 11 1 1has slope tanl m 2l22 2 2has slope tanl m 1 2tan tan 11. Angle Between Two Linesyx1l1 2 (exterior ) 1 2 1 21 2tan tan1 tan tan 11 1 1has slope tanl m 2l22 2 2has slope tanl m 1 2tan tan 12. Angle Between Two Linesyx1l1 2 (exterior ) 1 2 1 21 2tan tan1 tan tan 11 1 1has slope tanl m 1 21 21m mm m2l22 2 2has slope tanl m 1 2tan tan 13. Angle Between Two Linesyx1l1 2 (exterior ) 1 2 1 21 2tan tan1 tan tan 11 1 1has slope tanl m 1 21 21m mm m2l22 2 2has slope tanl m 1 2tan tan The acute angle between two lines with slopes and can befound using;1m 2m 14. Angle Between Two Linesyx1l1 2 (exterior ) 1 2 1 21 2tan tan1 tan tan 11 1 1has slope tanl m 1 21 21m mm m2l22 2 2has slope tanl m 1 2tan tan 21211tanmmmmThe acute angle between two lines with slopes and can befound using;1m 2m 15. 2000 Extension 1 HSC Q1b)e.g. Find the acute angle between the lines12 1 and 13y x y x 16. 2000 Extension 1 HSC Q1b)e.g. Find the acute angle between the lines12 1 and 13y x y x 3121312tan 17. 2000 Extension 1 HSC Q1b)e.g. Find the acute angle between the lines12 1 and 13y x y x 3121312tan2316 18. 2000 Extension 1 HSC Q1b)e.g. Find the acute angle between the lines12 1 and 13y x y x 3121312tan23161 19. 2000 Extension 1 HSC Q1b)e.g. Find the acute angle between the lines12 1 and 13y x y x 3121312tan2316145 20. 2005 Extension 1 HSC Q1f)45(ii) The acute angle between the lines y = 3x + 5 and y = mx + 4 isFind the possible values of m. 21. 2005 Extension 1 HSC Q1f)45(ii) The acute angle between the lines y = 3x + 5 and y = mx + 4 isFind the possible values of m.mm31345tan 22. 2005 Extension 1 HSC Q1f)45(ii) The acute angle between the lines y = 3x + 5 and y = mx + 4 isFind the possible values of m.mm31345tanmm3131 23. 2005 Extension 1 HSC Q1f)45(ii) The acute angle between the lines y = 3x + 5 and y = mx + 4 isFind the possible values of m.mm31345tanmm3131mm 331 24. 2005 Extension 1 HSC Q1f)45(ii) The acute angle between the lines y = 3x + 5 and y = mx + 4 isFind the possible values of m.mm31345tanmm3131mm 331 mmmm 331or331 25. 2005 Extension 1 HSC Q1f)45(ii) The acute angle between the lines y = 3x + 5 and y = mx + 4 isFind the possible values of m.mm31345tanmm3131mm 331 mmmm 331or33124 m 26. 2005 Extension 1 HSC Q1f)45(ii) The acute angle between the lines y = 3x + 5 and y = mx + 4 isFind the possible values of m.mm31345tanmm3131mm 331 mmmm 331or33121m24 m 27. 2005 Extension 1 HSC Q1f)45(ii) The acute angle between the lines y = 3x + 5 and y = mx + 4 isFind the possible values of m.mm31345tanmm3131mm 331 mmmm 331or33121mmm 33124 m 28. 2005 Extension 1 HSC Q1f)45(ii) The acute angle between the lines y = 3x + 5 and y = mx + 4 isFind the possible values of m.mm31345tanmm3131mm 331 mmmm 331or33121mmm 33142 m24 m 29. 2005 Extension 1 HSC Q1f)45(ii) The acute angle between the lines y = 3x + 5 and y = mx + 4 isFind the possible values of m.mm31345tanmm3131mm 331 mmmm 331or33121mmm 33142 m2m24 m 30. 2005 Extension 1 HSC Q1f)45(ii) The acute angle between the lines y = 3x + 5 and y = mx + 4 isFind the possible values of m.mm31345tanmm3131mm 331 mmmm 331or33121mmm 33142 m2m2or21 mm24 m 31. Exercise 14E; 1ac, 2bdf, 4, 7, 8, 10, 11a, 15*</p>