Question

Find the value of each trigonometric expression. sin 80° cos 35°-cos 80°sin 35°

Answer 1

Answer:
`(1)/(\sqrt 2)`

Explanation:

Note that
`\sin(A-B)=\sin A \cos B-\cos A \sin B`.

`\implies \sin 80^(\circ) \cos 35^(\circ)-\cos 80^(\circ) \sin 35^(\circ)=\sin 45^(\circ)=(1)/(√(2))`