Evaluate for the sine of an angle using the sum of two angles

The video tutorial explains how to split the angle 285 degrees into 225 and 60 degrees and apply the sine sum formula. It demonstrates the use of the unit circle to find coordinates for these angles and shows how to multiply and simplify these coordinates to solve trigonometric problems.

What is the sum formula for sine when combining two angles U and V?

• sine(U + V) = cosine(U) * sine(V) - sine(U) * cosine(V)

• sine(U + V) = sine(U) * sine(V) - cosine(U) * cosine(V)

• sine(U + V) = sine(U) * cosine(V) + cosine(U) * sine(V)

• sine(U + V) = cosine(U) * cosine(V) - sine(U) * sine(V)

What are the coordinates of 225 degrees on the unit circle?

• (-1/2, -sqrt(3)/2)

• (1/2, sqrt(3)/2)

• (-sqrt(2)/2, -sqrt(2)/2)

• (sqrt(2)/2, sqrt(2)/2)

Which coordinate represents the cosine of an angle on the unit circle?

• X coordinate

• Z coordinate

• Y coordinate

• W coordinate

What is the result of multiplying the sine of 225 degrees by the cosine of 60 degrees?

• -sqrt(2)/4

• sqrt(3)/4

• 1/4

• -1/2

What common factor is factored out in the final expression?

• -1/4

• sqrt(3)/4

• 1/2

• -sqrt(2)/4