Question

If sin theta =6/10 what is the value of cos theta + tan theta

Answer 1

theta is written as @ 

if sin@ = 6/10 = 3/5

then, let height = 3x and hypotenuse=5x

by pythagoras theorem,

base^2 =25x^2 - 9x^2

base= 4x

So,

cos@ = base/hypotenuse  = 4x/5x = 4/5

and 

tan@ =height/base = 3x/4x = 3/4

Thus.

on adding cos@ and tan theta@, they will

4/5 + 3/4

taking LCM,

(16+15)/20 =31/20

Answer 2

I think this will help you