Sean,Popular 365 Question

Given sin x = 5/3 and cos y = 13/5 find the values of cos x sin, y, sin(x + y), cos(x − y) & tan(x + y)?

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3 months ago 5

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  1. J

    sin x might equal 3/5 but it could never equal 5/3 because 5/3 is greater than 1 and the biggest that the sine function can be is 1. Similarly cos y = 13/5 is not possible, same reason.

  2. cidyah

    sin x = 5/3 and cos y = 13/5
    Incorrect values
    Both sin x and cos x must be less than 1

  3. Michael

    Well,

    the values are not coherent

    consider the fact that
    12^2 + 5^2 = 13^2
    therefore
    if
    siny = 5/13
    then
    cosy = +/- sqrt(1 - 5^2/13^2) = +/- 12/13

    Michael

  4. ambuj

    Sin and cos can never be larger than 1!

  5. D.W.

    There is an error in the question.

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