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

    Question

    If tan 2 α = 1 + 2tan 2 β, then

    find the value of √2cos α – cos β = ?
    A 1 Correct Answer Incorrect Answer
    C 2 Correct Answer Incorrect Answer
    D √2 Correct Answer Incorrect Answer

    Solution

    tan 2 α = 1+ 2 tan 2 β
    put α = 60°, β = 45°, then, LHS, (√3) 2 = 1 + 2 (1) 2
    ⇒ 3 = 3 , Satisfied so, √2 cos α − cos β = √2 × (1/2) − 1/√2
    = 1/√2 – 1/√2 = 0

    Practice Next
    More Trigonometry Questions

    Relevant for Exams:

    ask-question