Question

if 4 sin =3 then tan theta is equal to

Answer 1

Step-by-step explanation:

4 sin theta = 3

sin theta = 3/4

perpendicular/hypotenuse=3/4

using Pythagoras theorem

hypotenuse^2= base ^2 + perpendicular^2

4^2= base ^2+3^2

16= base ^2+9

16-9= base ^2

7 = base ^2

√7= base

Tan theta = perpendicular/ base

3/√7

Answer 2

Answer:

tan theta = 3/✓7

Step-by-step explanation:

4 sin = 3

sin = 3/4 = parpendicular/ hypotenuse

base^2 = hypotenuse^2 - height ^2

base^2 = 16-9

base = ✓7

tan theta = height / base = 3/✓7