Question

If sin theta =3/5, then find tan theta

Answer 1

Answer:

3/4 is tan theta.

Step-by-step explanation:

Sin theta = 3/5

That means

Perpendicular/ hypotenuse = 3/5

If perpendicular = 3x then hypotenuse = 5x.

Now, applying Pythagoras theorem :

Hypotenuse ² = base² +perpendicular ²

(5x)² = base² + (3x)²

Base² = 25x² - 9x²

Base² = 16x²

✔️Base = 4x

Now ,

Tan theta = perpendicular/ base

Tan theta = 3x/ 4x

✔️Tan theta = 3 / 4