pre calc trig check my work please

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sin x + cos x
-------------- = ?
sin x

sin x cos x
----- + ----- =
sin x sin x

cos x/sin x = cot x

this is what i got, the problem is we have a match the expression to the equation work sheet and this is not one of the answers. need to figure out what im doing wrong so i can get the rest worked right. thanks

  • pre calc trig check my work please -

    I do not see why you changed the + into a ÷, namely:
    sin x cos x
    ----- + ----- =
    sin x sin x
    (which I see as sin/sin+cos/sin)

    But sin x/sin x = 1, and
    cos x/sin x = cot x
    so the sum is 1 + cot x.

  • pre calc trig check my work please -

    not quite, but you are close

    (sinx + cosx)/sinx
    = sinx/sinx + cosx/sinx
    = 1 + cotx

    you left out the "1"

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