Question

If 5 sin theta =3 then tan theta = ?

Answer 1

Step-by-step explanation:

I have taken 3x and 5x because they are in ratio we cannot take them as real value of AB and AC

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Answer 2

$\tan \theta=\dfrac{3}{4}$

Step-by-step explanation:

We have,

$5\sin \theta=3$

To find, $\tan \theta=?$

∴ $\sin \theta=\dfrac{3}{5} =\dfrac{p}{h}$

where, p = perpendicular and h = hypotaneous

By Pythagoras Theorem,

$b=\sqrt{h^{2}-p^{2} }$

$b=\sqrt{5^{2}-3^{2} }=\sqrt{25-9}=\sqrt{16} =4$

∴ Base, b = 4

∴ $\tan \theta=\dfrac{p}{b}$

⇒ $\tan \theta=\dfrac{3}{4}$

Hence,  $\tan \theta=\dfrac{3}{4}$.