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

1. ## 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?

2. I am sorry its incorrect

Why
$sin(x+4)sec(x)=\frac{sin(x+4)}{cos(x)} \ne tan(x+4)$
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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
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Was your question ?

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

If it was then you are Correct

3. Hello, captaintoast87!

It doesn't simplify too much . . .

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

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

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

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