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29 September, 07:12

Find an angle x where sin (x) = cos (x)

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  1. 29 September, 07:41
    0
    45 degrees

    Step-by-step explanation:

    sin (x) = cos (x)

    Divide each side by cos x

    sinx/cos x = cos x/cos x

    tan x = 1

    Take the arctan of each side

    arctan (tan x) = arctan (1)

    x = 45 degrees + 360 n

    x = 225 + 360 n

    where n is an integer

    We only have to choose 1 since it says choose an angle
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