Question

solve 2sinx + tanx = 0 ​

Answer 1

2Sinx + tanx== 0

2sinx + sinx/cosx= 0

2sinx.Cosx+ sinx/cosx==O

sinx(2cosx+sinx)== Cos X....

HOPE IT WILL HELP YOU

Answer 2

Answer:

Step-by-step explanation:

Given :

To find solutions for 2sinx + tanx = 0,

Solution :

$2sinx + tanx = 0$

$2sinx + \frac{sinx}{cosx} = 0$

$\frac{2sinxcosx + sinx}{cosx} = 0$

$2sinxcosx + sinx = 0$   ∴ cos x ≠ 0 ⇒ x ≠ $(\frac{2n+1}{2} )\pi$

$sinx(2cosx+1) = 0$

$2cosx + 1 = 0$ ∴ sin x ≠ 0 ⇒ x ≠ nπ

$2cosx = -1$

$cos x = -\frac{1}{2}$

cos x = cos (-30)° = $cos(-\frac{\pi }{6} )$

x = nπ ±$(-\frac{\pi }{6})$

x = nπ ± $\frac{\pi }{6}$