sin 60° cos 30° + sin 30° cos 60°

Sure, let's solve this step by step:

1. First, we need to know the values of sin and cos for 30° and 60°.

   sin 30° = 1/2, cos 30° = √3/2 sin 60° = √3/2, cos 60° = 1/2

2. Now, substitute these values into the equation:

   sin 60° cos 30° + sin 30° cos 60° = (√3/2 * √3/2) + (1/2 * 1/2)

3. Multiply the values:

   = 3/4 + 1/4

4. Add the results:

   = 1

So, sin 60° cos 30° + sin 30° cos 60° = 1.