Question

If sin theta = 15/17 what is the value of tan theta ?​

Answer 1

$\sinθ = \frac{15}{17}$

AC = 17

AB = 15

BC = ?

By Pythagoras theorem–

AC² = AB² + BC²

17² = 15² + BC²

289 = 225 + BC²

BC² = 289 – 225

BC² = 64

BC = √64

BC = 8

$\tan θ = \frac{base}{perpendicular} = \frac{bc}{ab}$

$\tanθ = \frac{8}{15}$

The value of tanθ = 15/8

Answer 2

Step-by-step explanation:

Using pyothgrous therom,

AC2=AO2+OC2

(15)2=(17)2+(OC)2

225=289+(OC)2

(OC)2=289-225

(OC)2=64

OC=root over 64

OC=8

:.

tan theta =15/8