Question

if a is an acute angle and tan a =4/3, then the value of sin a +cos a is?

Answer 1

we know that tan a= 4/3 then a is 53°
now. [ sin 53°+cos 53°]= 4/5+3/5= 7/5 ......hope it may help u..@ mr rajput

Answer 2

Tan a=P/B so P=4 and B=3 and H=5 (by pythagorus theroem)
So value of Sin a =P/H
=4/5
Value of Cos a=B/H
=3/5
Sin a+ Cos a= 4/5+3/5

= 4+3/5
=7/5