Use the product-to-sum and sum-to-product identities to prove the stated identity.sin 12? + sin 14? = cot ?(cos 12? - cos 14?)
What will be an ideal response?
sin 12? + sin 14? = 2 sin
cos 
= 2 sin 13? cos ?
= 
(2 sin 13? sin ?)
= 
(-2 sin 13? (-1)sin ?)
= cot ?(-2 sin 
? sin 
?)
= cot ?(cos 12? - cos 14?)
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Evaluate the surface integral of the function g over the surface S.G(x, y, z) = x2y2z2; S is the surface of the rectangular prism formed from the coordinate planes and the planes x = 1, y = 1, and z = 2
A. 
B. 
C. 
D. 
Determine the total turn for the closed curve. Assign a positive measure to counterclockwise turning.
A. 360° B. -360° C. 0° D. -720°
Find the exact value of the expression.
A. -2
B. - 
C. -
D. - 
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.-12 - 4 - 
- ...
A. Converges; 6
B. Converges; - 18
C. Converges; - 
D. Diverges