if sin alpha = 4/5 and cos beta = 12/13,find the value of sin alpha cos beta + cos alpha sin beta?
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heya
I m writing alpha as a and beta as b
if sin a=4/5 this means p/h=4k/5k
so using Pythagoras theorem
b=3k
so cos a=3/5
similarly
if cos b is 12/13 so using Pythagoras theorem
p=5
so sin b= 5/13
now solving
we get
4/5*12/13+3/5*5/13
48/65+15/65
63/65
I m writing alpha as a and beta as b
if sin a=4/5 this means p/h=4k/5k
so using Pythagoras theorem
b=3k
so cos a=3/5
similarly
if cos b is 12/13 so using Pythagoras theorem
p=5
so sin b= 5/13
now solving
we get
4/5*12/13+3/5*5/13
48/65+15/65
63/65
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