Question

If tan theta is 12/5 then value of sin theta is

Answer 1

Hi ,

Here I am using A instead of theta.

tanA = 12/5

CotA = 5/12

Cosec² A = 1 + cot² A

= 1 + ( 5/12 )²

= 1 + 25/144

= ( 144 + 25 ) / 144

= 169 / 144

cosecA = √ ( 13/12 )²

1/sinA = 13/12

Therefore ,

SinA = 12/13

I hope this helps you.

: )

Answer 2

Hey there! ☺☻☺

Given,
Tan θ = 12/5
Then Cot θ = 5/12

We know,
Cosec² θ = 1 + cot² θ
               = 1(5/12)²
               = 1+ 25/144
                = 169/144
                = (13/12)²
Then, Cosec θ = √(13/12)²
So, 1/Sinθ = 13/12
∴ Sin θ = 12/13    [reciprocal] 

Hope It Helps You! ☺☻☺