Question

if tan(a)=7/24.find value of sin(a)+cos(a)

Answer 1

tan(a)=p/b=7/24(which means p=7 and b=24)
by pythagoras therom hy sq=p.sq+b.sq 
7.sq+24.sq=625 which is the sq of 25
sin(a)=p/hy=7/25
cos(a)=b/hy=24/25
=7/25+24/25
=31/25ans

Answer 2

Given Tan A =7/24 = opposite side / adjacent side,so,the hypotenuse is 25.
Now,Sin A = opposite side / hypotenuse = 7/25 ,
       Cos A = adjacent side / hypotenuse = 24/25'
Now, Sin A +Cos A = 7/25+24/25
                              = 31/25.