# Thread: Simplify the following in terms of sin or cos

1. ## Simplify the following in terms of sin or cos

Q) $\displaystyle tanx + cotx$
Attempt:
$\displaystyle \frac {sin}{cos} + \frac {sin}{cos}$

Q)$\displaystyle sinx + cos^2 * cscx$
Attempt:
$\displaystyle sinx +\frac{cos^2}{sinx} = cos^2$

In addition fractions is it allowed to cross things out ?

These are my attempt, if they are wrong or incomplete please correct them for me.
Thank you very much

2. $\displaystyle \cot(x)=\frac{\cos(x)}{\sin(x)}$

3. Originally Posted by mj.alawami
Q) $\displaystyle secx + cotx$
Attempt:
$\displaystyle \frac {sin}{cos} + \frac {sin}{cos}$
Neither sec x nor cot x is equal to sin x/ cos x so that is not right.
sec x= 1/cos x and cot x= cos x/sin x. Add those fractions.

Q)$\displaystyle sinx + cos^2 * cscx$
Attempt:
$\displaystyle sinx +\frac{cos^2}{sinx} = cos^2$

In addition fractions is it allowed to cross things out ?
NO! 2+ 1/2 is NOT equal to 1!!

Write that first sinx as $\displaystyle \frac{sin^2 x}{sin x}$ and add the fractions.

These are my attempt, if they are wrong or incomplete please correct them for me.
Thank you very much

4. Originally Posted by Plato
$\displaystyle \cot(x)=\frac{\cos(x)}{\sin(x)}$
Attempt:
$\displaystyle sinx + cos^2 *\frac{1}{sinx}$
$\displaystyle sinx +\frac{cos^2}{sinx} = cos^2$
the sinx and sinx will cancell each other which is = $\displaystyle cos^2$
Is this correct ?

5. Originally Posted by HallsofIvy
Neither sec x nor cot x is equal to sin x/ cos x so that is not right.
sec x= 1/cos x and cot x= cos x/sin x. Add those fractions.

NO! 2+ 1/2 is NOT equal to 1!!

Write that first sinx as [tex]\frac{sin^2 x}{sin x} and add the fractions.
My first question was wrong so i just re-edited and corrected it
Sorry
Thank you

6. Originally Posted by mj.alawami
Attempt:
$\displaystyle sinx + cos^2 *\frac{1}{sinx}$
$\displaystyle sinx +\frac{cos^2}{sinx} = cos^2$
the sinx and sinx will cancell each other which is = $\displaystyle cos^2$
Is this correct ?
I don't see how this is different from what you had before. Again, the "b"s in b+ a/b do NOT cancel. 2+ 1/2 is NOT equal to 1!

7. Originally Posted by HallsofIvy
I don't see how this is different from what you had before. Again, the "b"s in b+ a/b do NOT cancel. 2+ 1/2 is NOT equal to 1!
my first question is