📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    If cos(A - B) = √3/2 and cot(A + B) = 1/√3,

    where A - B and A + B are acute angles, then (2A - 3B) is equal to:
    A 30° Correct Answer Incorrect Answer
    B 45° Correct Answer Incorrect Answer
    C 60° Correct Answer Incorrect Answer
    D 15° Correct Answer Incorrect Answer

    Solution

    cos(A - B) = √ 3/2 A – B = 30Ëš ---- (i) A + B = 60Ëš ---- (ii) Solving (i) and (ii) we get, => A = 45Ëš and B = 15Ëš Now, => tan (2A – 3B) = 90Ëš – 45Ëš = 45Ëš

    Practice Next
    More Algebra Questions

    Relevant for Exams:

    ask-question