Question

13sin13 sin theta is equal to 5 then tan theta is equal to ?​

Answer 1

Answer:

The answer is-

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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