Question

if sin A =3/5 fin the value of sin a cos b+cos a sin b​

Answer 1

Answer:

1

Step-by-step explanation:

Let ratio be x,

sin a = height/hypotenuse

  3/5 = height/hypo

 On comparing,

 we get height = 3x and hypo.=5x,

 by pythagoras theorem, (5x)^2 = (3x)^2 + (base)^2

                                            25 x^2=9x^2 + base^2

                                            16 x^2 =base^2

                                           base=4x

     therefore make a triangle,

     Sin b= 4/5 cos a = 4/5 and cos b= 3/5

     implies = sin a cos b +cos a sin b

                  = 3/5 x 3/5+4/5 x 4/5

                 =9/25+16/25

                 = 1.