Question

if 2sin A=1,then find the value of tan A​

Answer 1

Step-by-step explanation:

Since 2sinA =1

sinA =1/2

since sin30 =1/2

therefore A= 30 degrees

therefore tan A = 1/root3

Answer 2

$\huge\mathfrak{\green{Answer}}$

$\frac{1}{ \sqrt{3} }$

Step-by-step explanation:

$2 \sin(a) = 1$

$= > \sin(a) = \frac{1}{2}$

we know that,

$\sin(a) = \frac{p}{h}$

Therefore,

$\frac{p}{h} = \frac{1}{2}$

Now, let's say that p= 1K and h= 2K for some right angled triangle ABC.

By using Pythagoras theorem, we get

${h}^{2} = {b}^{2} + {p}^{2}$

${2}^{2} = {b}^{2} + {1}^{2}$

$4 = {b}^{2} + 1$

${b}^{2} = 4 - 1$

$b = \sqrt{3}$

Now,

we know that

$\tan(a) = \frac{p}{b}$

hence, value of tanA will be

$\frac{1}{ \sqrt{3} }$