Evaluate sin(29 degrees)cos(31 degrees) + cos(29 degrees)sin(31 degrees) exactly, without using a calculator.
3 answers
sqrt(3)/2
Correct!
sin(a)cos(b)+cos(a)sin(b)
=sin(a+b)
Let a=29°, b=31°
so the expression represents sin(60°)=(√3)/2
sin(a)cos(b)+cos(a)sin(b)
=sin(a+b)
Let a=29°, b=31°
so the expression represents sin(60°)=(√3)/2
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1 answer