If cosec Θ = 1.25 then, (4tanΘ - 5cosΘ + 1) ÷ (secΘ + 4cotΘ - 1) = ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 10/11
| Application |
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Given that cosecΘ = 1.25 = 5/5 So sin Θ = 4/5 Then cosΘ = 3/5 and tanΘ = 4/3 , cotΘ = 3/4 Hence (4tanΘ - 5cosΘ + 1) ÷ (secΘ + 4cotΘ - 1) = (4 × 4/3 - 5 × 3/5 + 1) ÷ (5/3 + 4 × 3/4 - 1) (16 -6)/(5 + 6) = 10/11 |