hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    If cosecA – cotA = 3 then cosecA + cotA = ?
    Question

    If cosecA – cotA = 3 then cosecA + cotA = ?

    A.

    13\frac{1}{3}​​

    B.

    12\frac{1}{2}​​

    C.

    15\frac{1}{5}​​

    D.

    32\frac{3}{2}​​

    Correct option is A

    Given:
    cosecA – cotA = 3
    Formula Used:
    Trigonometric identity: cosec²A - cot²A = 1
    Difference of squares factorization: a² - b² = (a + b)(a - b)
    Solution:
    We know that ,

    cosec²A - cot²A = 1.
    (cosecA + cotA)(cosecA - cotA) = 1
    (cosecA + cotA) × 3 = 1
    cosecA + cotA = 13\frac{1}{3}​​










    Free Tests

    Free
    Must Attempt

    CBT-1 Full Mock Test 1

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    RRB NTPC UG Level PYP (Held on 7 Aug 2025 S1)

    languageIcon English
    • pdpQsnIcon100 Questions
    • pdpsheetsIcon100 Marks
    • timerIcon90 Mins
    languageIcon English
    Free
    Must Attempt

    CBT-1 General Awareness Section Test 1

    languageIcon English
    • pdpQsnIcon40 Questions
    • pdpsheetsIcon30 Marks
    • timerIcon25 Mins
    languageIcon English
    test-prime-package

    Access ‘RRB NTPC’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    383k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow