ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    If tan ╬╕ + cot ╬╕ = 16, then find the value of

    tan2╬╕ + cot2╬╕.
    A 324 Correct Answer Incorrect Answer
    B 254 Correct Answer Incorrect Answer
    C 258 Correct Answer Incorrect Answer
    D 196 Correct Answer Incorrect Answer

    Solution

    We know that, (a + b)┬а2┬а= a2┬а+ b2┬а+ 2ab

    So, (tan ╬╕ + cot ╬╕)┬а2┬а= tan2┬а╬╕ + cot2┬а╬╕ + 2 x tan ╬╕ x cot ╬╕

    So, 162┬а= tan2┬а╬╕ + cot2┬а╬╕ + (2 x 1)

    So, tan2┬а╬╕ + cot2┬а╬╕ = 256 - 2 = 254

    Practice Next
    More Approximation Questions

    Relevant for Exams:

    ask-question