Question

Find the exact value

sin 79° cos 19° - cos 79° sin 19°

Answer 1

Explanation:

Using the trigonometric identity

sin(a - b) = sin a cos b - cos a sin b

So sin 79° cos 19° - cos 79° sin 19° can be written as

sin ( 79 - 19) = sin 60

And

`\sin(60) = ( √(3) )/(2)`

Hope this helps you