If sin a= 12/13 and tan b 8/15 and angles a and b are in qundrant 1 find the value of tan (a+b)

The value of Tan (a + b) is .

Step-by-step explanation:

Given as :

Tan b =

Sin a =

∵Sin Ф =

So,   =  

Now, Base² = Hypotenuse² -  Perpendicular²

Or, Base² = 13² - 12²

Or,  Base² = 169 - 144

Or,  Base² = 25

∴     Base = = 5

And Tan Ф =  

Or, Tan a =

Now, Tan (a + b) =

Or, Tan (a + b) =

or, Tan (a + b) =

or, Tan (a + b) =

Or, Tan (a + b) =

Hence The value of Tan (a + b) is . Answer