Simplifying sin(x+4)secx?

**captaintoast87** · March 2nd 2009, 02:19 AM

I came up with tanx(x+4) If this is correct, am I supposed to distribute the tanx to the x and the 4?

**ADARSH** · March 2nd 2009, 02:39 AM

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

**Soroban** · March 2nd 2009, 06:38 AM

Hello, captaintoast87!

It doesn't simplify too much . . .

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

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

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

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

Thread: Simplifying sin(x+4)secx?

LinkBack

Thread Tools

Display

Simplifying sin(x+4)secx?

Similar Math Help Forum Discussions

derivative of secx

integrate (secx)^4

differentia secx????????

The reciprocal of secx

How do I find Dx tan(x)^secx?

Search Tags