Calculating the value for cotangent.

**My question says to "calculate the value for cotangent (0) if (0)=270 degrees, given in standard position"**

Just calculating it and getting 1.8370 I got it counted wrong, and when I asked on another forum about it they had gone through and what seems like to me, they used quotient identities and put the cos(270)/(sin(270) to equal 0.

Is that the right way to go about this? It didn't say to use quotient identities so I wasn't sure.

There's a second question with the same degree but its asking for the csc (cosecant) of 270, given in standard position.

Re: Calculating the value for cotangent.

Quote:

Originally Posted by

**sterces** **My question says to "calculate the value for cotangent (0) if (0)=270 degrees, given in standard position"**

Just calculating it and getting 1.8370 I got it counted wrong, and when I asked on another forum about it they had gone through and what seems like to me, they used quotient identities and put the cos(270)/(sin(270) to equal 0.

Is that the right way to go about this? It didn't say to use quotient identities so I wasn't sure.

There's a second question with the same degree but its asking for the csc (cosecant) of 270, given in standard position.

...some smart people you found out there...

It's true.

$\displaystyle \theta=270^{\circ}$

$\displaystyle \cot(\theta)=\frac{\cos(\theta)}{\sin(\theta)}=\fr ac{\cos(270^{\circ})}{\sin(270^{\circ})}=\frac{0}{-1}=0$

**EDIT:**

$\displaystyle \sec(\theta)=\frac{1}{\cos(\theta)}$

So, what is $\displaystyle \sec(270^{\circ})$ ?

Re: Calculating the value for cotangent.

Ah, alright, thanks for verifying :)

sec(270) would be -1 then.

Re: Calculating the value for cotangent.

Quote:

Originally Posted by

**sterces** Ah, alright, thanks for verifying :)

sec(270) would be -1 then.

Yes!(But only by my definition of sec function)(Crying)

Re: Calculating the value for cotangent.

Quote:

Originally Posted by

**Also sprach Zarathustra**

$\displaystyle \sec(\theta)=\frac{1}{\sin(\theta)}$

$\displaystyle \sec(x) = \dfrac{1}{\cos(x)}$ rather than 1/sin(x).

Re: Calculating the value for cotangent.

Quote:

Originally Posted by

**sterces** Ah, alright, thanks for verifying :)

sec(270) would be -1 then.

No!

sec(270)=1/cos(270)=1/0

Re: Calculating the value for cotangent.

Quote:

Originally Posted by

**Also sprach Zarathustra** No!

sec(270)=1/cos(270)=1/0

But the question doesn't ask for $\displaystyle \sec(270^\circ)$, it asks for $\displaystyle \csc(270^\circ) = \frac1{\sin(270^\circ)} = \frac1{-1} = -1$.