Question

If tano
12/15
then find the value of
1+sin/1-sin​

Answer 1

Given

→Tanθ = 12/15

To Find

→(1+Sinθ)/(1-Sinθ)

Now Take

→Tanθ = 12/15 = p/b

We have

→Perpendicular(p) = 12 , Base(b)= 15 and Hypotenuse(h) = ?

Using Pythagoras Theorem

→h² = p² + b²

Put the value  

→h² = (12)² + (15)²

→h² = 144 + 225

→h²= 369

→h=√(369)

→h = 19.02 ≈ 19

We get

→Sinθ = p/h = 12/19

Put the value on

→(1+Sinθ)/(1-Sinθ)

→( 1 + 12/19)/(1 - 12/19)

→{(19 + 12)/19}/{(19-12)/19}

→{(31)/19}/{(7)/19}

→31/19×19/7

→31/7

Answer

→31/7