You can put this solution on YOUR website! What is the exact value of sin(75) degrees
sin75º=sin(30)º+45º)
=sin 30 cos 45+cos 30 sin 45
=1/2*√2/2+√3/2*√2/2
=√2/4+√6/4
=(√2+√6)/4
Check with calculator:
sin 75º≈0.9659
exact value=(√2+√6)/4≈0.9659
Either of these three ways is correct. The first way is like the
tutor above did it. The second way gives the same answer in the
same form. The last one is in a different form but it is
equal to the other one.
sin(75°) = sin(45°+30°) = sin(45°)cos(30°)+cos(45°)sin(30°) = ( = =
sin(75°) = sin(120°-45°) = sin(120°)cos(45°)-cos(120°)sin(45°) = ( = ( =
sin(75°) = sin() = = = = = =
Edwin
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