if tan theta = a/b, then find the value of a sin theta + b cos theta /a sin theta – b cos theta

Question

if tan theta = a/b, then find the value of a sin theta + b cos theta /a sin theta – b cos theta

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Josephine 2 days 2021-10-12T15:42:33+00:00 2 Answers 0 views 0

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    0
    2021-10-12T15:43:52+00:00

    Answer:

    here is right answer………..

    0
    2021-10-12T15:43:56+00:00

    Answer:

    Step-by-step explanation:

    Tan θ = a/b

    sinθ/cosθ = a/b——(1)

    lhs = (a sinθ- b cos θ)/(a sinθ + b cosθ)

    = (asinθ/cosθ – bcosθ/cosθ)/(asinθ/cosθ+ bcosθ/cosθ)

    dividing each term with cosθ

    =(asinθ/cosθ-b/1)/(asinθ/cosθ+b/1)

    =(a*a/b-b/1)/(a*a/b +b/1)

    [from (1)]

    = (a^2-b^2)/(a^2+b^2)……  ANSWER

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