Question

If 5 tan theta = 12 then 13 sin theta/3 is

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The value of 13/3 sin theta is 4.

Step-by-step explanation:

Consider the provided information.

$5 \tan \theta = 12$

$\tan \theta = \frac{12}{5}$

$\tan \theta = \frac{Perpendicular}{Base}= \frac{12}{5}$

Therefore, Perpendicular= 12 and Base = 5.

Now use Pythagorean theorem.

$(Hypotenuse)^2=(Perpendicular)^2+(Base)^2$

$(Hypotenuse)^2=(12)^2+(5)^2$

$(Hypotenuse)^2=144+25$

$(Hypotenuse)^2=169$

$Hypotenuse=13$

$\frac{13}{3}\sin \theta=\frac{13}{3}\times \frac{Perpendicular}{Hypotenuse}$

$\frac{13}{3}\sin \theta=\frac{13}{3}\times \frac{12}{13}=4$

Hence, $\frac{13}{3}\sin \theta=4$.

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