Question

if 4 sec theta = 5,then find the value of sin theta​

Answer 1

Step-by-step explanation:

this is the answer

hope it may help you

Answer 2

Answer:

sinΘ = 3/5

Step-by-step explanation:

In triangle ABC let ∠C be Θ.

So,  secΘ = AC/BC

And acoording to the question 4 secΘ = 5.

That means, secΘ = 5/4

∴ cosΘ = 4/5

∴ BC/AC = 4/5

By pythagoras theorem,

(AC)² = (AB)² + (BC)²

(5)² = (AB)² + (4)²

25 = (AB)² + 16

25 - 16 = (AB)²

9 = (AB)²

√9 = AB

3 = AB

Since, sinΘ = AB/AC

∴ sinΘ = 3/5