Use the information given below to find sinalpha beta Give

Use the information given below to find sin(alpha + beta). Give the exact answer, not a decimal approximation.

Solution

cos=3/5 , in QIV =>sin =( -(5²-3²))/5=>sin =-4/5

cos=-3/5 , in QII =>sin =( (5²-3²))/5=>sin =4/5

sin(+)=sincos +cossin

sin(+)=(-4/5)(-3/5) +(3/5)(4/5)

sin(+)=(12/25) +(12/25)

sin(+)=24/25