Answer:
See explanations below
Explanation:
evaluate sin 60. cos 30 sin +sin 30 .cos 60 what is the value of sin(30-60) what can you conclude
According to the trigonometry identity
Sin 30 = 1/2
Sin 60 = √3/2
Cos 30 = √3/2
Cos 60 = 1/2
sin 60. cos 30 +sin 30 .cos 60
= √3/2(√3/2) + 1/2(1/2)
= √9/4 + 1/4
= 3/4 + 1/4
= 4/4
= 1
sin(30-60) = sin30cos60 - cos30sin60
sin(30-60) =1/2(1/2) - √3/2(√3/2)
sin(30-60) = 1/4 - √9/4
sin(30-60) = 1/4 - 3/4
sin(30-60) = (1-3)/4
sin(30-60) = -2/4
sin(30-60) = -1/2
hence the former fraction gives a positive values while the later gives a negative