If tay (A+B) = 1 and tan (A-B) = 1/root3
0°<A +B< 90, A >B, then find the values of A and B.​

If tay (A+B) = 1 and tan (A-B) = 1/root3
0°<A +B< 90, A >B, then find the values of A and B.​

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1 thought on “If tay (A+B) = 1 and tan (A-B) = 1/root3<br />0°<A +B< 90, A >B, then find the values of A and B.​”

  1. Correct option is

    A

    60

    Given tan(A+B)=

    3

    ⟹A+B=60

    ⋯(1)

    tan(A−B)=

    3

    1

    ⟹A−B=30

    ⋯(2)

    (1)+(2)⟹2A=90

    ⟹A=45

    Put A value in (1)

    ⟹B=60

    −45

    =15

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