Question

50 POINTS!!!! PLSSS HELPPP URGENTTTT!!!! Although 300° is a special angle on the unit circle, Amanda wanted to determine its coordinates using the sum and difference formulas.

Part A: Determine cos 300° using the cosine sum identity. Be sure to include all necessary work. (5 points)

Part B: Determine sin 300° using the sine difference identity. Be sure to include all necessary work. (5 points)

Answer 1

Answer:

a) 1/2, b) = - sqrt(3) / 2

Step-by-step explanation:

a) Let A = 120 degree, B = 180 degree

Using cosine sum is cos(120+180) = cos(120)*cos(180) - sin(120)* sin(180)

which will give you 1/2

b) Let A = 360, B = 60 degree

Using sine difference: sin(360-60) = sin(360) cos(60) - cos(360) sin (60)

gives you -sqrt(3)/2