If cosec theta 3 sec theta 5 cosec theta then what is the value of cot theta ........

Quantitative Aptitude (CPO) Trignometry

If cosec θ + 3 sec θ = 5 cosec θ, then what is the value of cot θ?

4/3

3/4

1/√3

√3

Let’s break it down step by step:

- You have: cosec ? + 3 sec ? = 5 cosec ?

- Move cosec ? to the right: 3 sec ? = 4 cosec ?

- So, sec ? / cosec ? = 4/3

- That is (1/cos ?) / (1/sin ?) = 4/3

- This simplifies to: sin ? / cos ? = 4/3

- Well, sin ? / cos ? is tan ?.

- So, tan ? = 4/3

- That means cot ? = 1 / tan ? = 3/4

Here’s the match with your options:

Option 1: 4/3 — that’s tan ?, not cot ?.

Option 2: 3/4 — That’s cot ?, our answer.

Option 3: 1/v3 — that’s a special angle value, not matching here.

Option 4: v3 — again, special angle, not matching here.

Submit Error