Question

Evaluate the following

sin 60° cos 30° - cos 60° sin 30°​

Answer 1

Answer:

1/2

Step-by-step explanation:

sin 60= √3/2

sin 30= 1/2

cos 60=1/2

cos 30=√3/2

√3/2*√3/2-1/2*1/2=2/4=1/2

Answer 2

Answer:

Sin(60 - 30)=Sin(30)=1/2

Step-by-step explanation:

There's a formula as,

Sin(A-B) = Sin(A).Cos(B) - Cos(A).Sin(B)

By this,

Sin(60).Cos(30) - Cos(60).Sin(30)

= Sin(60 - 30)

= Sin(30)

= 1/2 or 0.5

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