-
If sinθ = 5 and θ is acute, what is the value of √(cotθ + tanθ) ? 13
-
-
2 √5
-
13 2√15
-
-2 √5 - Cannot be determined
-
Correct Option: B
| sinθ = | ||
| 13 |
cosθ = √1 - sin²θ
cosθ = √{ 1 - (5 / 13)2
cosθ = √{ 1 - (25 / 169)
| cosθ = √ | ||
| 169 |
| cosθ = √ | ||
| 169 |
| cosθ = | ||
| 13 |
| ∴ tanθ = | = | ||
| cosθ | 12 |
| cotθ = | ||
| 5 |
∴ √(cotθ + tanθ) = √(5 / 12) + (12 / 5)
| Required answer = √ | ||
| 60 |
| = √ | ||
| 60 |
| Required answer = | ||
| 2 √15 |
