Saved Bookmarks
| 1. |
If tane+ sece-2,value of the tan θ180es; find the |
|
Answer» Put tanA + secA = 2 with the trig identity 1 + tan²A = sec²A and we have the system of equations tanA + secA = 2 1 + tan²A = sec²A Solve by substitution: Solve the first for secA secA = 2 - tanA Substitute into the second equation 1 + tan²A = (2 - tanA)² 1 + tan²A = 4 - 4tanA + tan²A The tan²A's cancel and we get 1 = 4 - 4tanA 4tanA = 3 tan A = 3/4 |
|