If 21 tanθ = 20, then (1 + sinθ + cosθ) : (1 – sinθ + cosθ) = ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 7 : 3
| Understanding | Application |
| Tricks |
Given 21tanθ = 20 tanθ = 20/21 = p/b |
| Now |
⇒ h = √202 + 212 ⇒ h = √400 + 441 ⇒ h = √841 ⇒ h = 29 |
| Hence |
⇒ (1 + 20/29 + 21/29) : (1 – 20/29 + 21/29) ⇒ (1 + 41/29) : (1 + 1/29) ⇒ (70/29) : (30/29) ⇒ 7 : 3 |