# Math Help - Trigo-equations

1. ## Trigo-equations

Solve in R:
1/
$
sin(x)+cos(x)cotan(\frac{x}{2})=-\sqrt{3}
$

2/
$
sin\left | x \right |tan(5x)=cos(x)
$

2. Originally Posted by dhiab
Solve in R:
1/
$
sin(x)+cos(x)cotan(\frac{x}{2})=-\sqrt{3}
$

2/
$
sin\left | x \right |tan(5x)=cos(x)
$
$sin(x)+cos(x)cotan(\frac{x}{2})=-\sqrt{3}$

$\frac{2\tan\frac{x}{2}}{1+(\tan^{2}\frac{x}{2})} + \frac{1- (\tan^{2}\frac{x}{2})}{1+(\tan^{2}\frac{x}{2})}*\c ot\frac{x}{2}= -\sqrt{3}$

Simplify and solve.

3. sin x + cos x cot x/2 = - sqrt 3

x = (pi/3)(6k - 1), where k is an element in Z.