Saved Bookmarks
| 1. |
If sinA + cosA = root3 , then prove that tanA + cot A = 1 |
|
Answer» Answer: Step-by-step EXPLANATION: SINA + cosA = √3 Squaring on both SIDES we get, (SinA + cosA)² = (√3)² Sin²A + cos²A +2sinAcosA = 3 1 + 2sinAcosA = 3 2sinAcosA = 3-1 SinAcosA = 2/2 sinAcosA = 1..............(1) tanA+cotA = 1 sinA/cosA + cosA/sinA = 1 sin²A + cos²A /sinAcosA = 1 1/sinAcosA = 1 sinAcosA = 1............(2) EQ (1) = eq(2) thus tanA + cotA = 1 |
|