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Math Help - Simplifying sin(x+4)secx?

  1. #1
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    Simplifying sin(x+4)secx?

    I came up with tanx(x+4) If this is correct, am I supposed to distribute the tanx to the x and the 4?
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    I am sorry its incorrect

    Why
    sin(x+4)sec(x)=\frac{sin(x+4)}{cos(x)} \ne tan(x+4)
    ---------------------------------------------------------------------------
    Use
    Sin(a+b) = sin(a)cos(b) + cos(a)sin(b)


    for sin(x+4) but I don't think this will simplify it
    ----------------------------------------------------------------------------
    Was your question ?

    Simplify sin(x+4)sec(x+4) !

    If it was then you are Correct
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  3. #3
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    Hello, captaintoast87!

    It doesn't simplify too much . . .


    \sin(x+4)\cdot\sec x

    We have: . \bigg[\sin x\cos 4 + \cos x\sin 4\bigg]\cdot\frac{1}{\cos x}

    . . . . . .  \;=\;\frac{\sin x\cos 4}{\cos x} + \frac{\cos x\sin 4}{\cos x}

    . . . . . . =\;\cos 4\!\cdot\!\tan x + \sin 4

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