Ask Question
13 April, 19:57

Find cscx if sinx+cotx cosx = sqrt3

+2
Answers (1)
  1. 13 April, 20:57
    0
    The answer is (d) ⇒ cscx = √3

    Step-by-step explanation:

    ∵ sinx + (cotx) (cosx) = √3

    ∵ sinx + (cosx/sinx) (cosx) = √3

    ∴ sinx + cos²x/sinx = √3

    ∵ cos²x = 1 - sin²x

    ∴ sinx + (1 - sin²x) / sinx = √3 ⇒ make L. C. M

    ∴ (sin²x + 1 - sin²x) / sinx = √3

    ∴ 1/sinx = √3

    ∵ 1/sinx = cscx

    ∴ cscx = √3
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Find cscx if sinx+cotx cosx = sqrt3 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers