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22 November, 11:50

If angle x is in the fourth quadrant and angle y is in the first quadrant, the value of cos (x-y) is

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  1. 22 November, 14:37
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    -y) = cos x cos y + sin x sin y becomes, in terms of sign,

    cos (x-y) = (Note that cos (x-y) = cos x cos y + sin x sin y.

    If angle x is in the fourth quadrant, then sin x is positive and cos x is negative.

    If angle y is in the first quadrant, then sin y is positive and cos y is positive.

    Then cos (x-y) becomes, in terms of sign:

    (-) (+) + (+) (+), or

    (-) + (+)

    This would be positive, overall, if cos x cos y < sin x sin y.
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