Use the addition formulas to derive the identity.sin 
= cos x
What will be an ideal response?
sin 
= sin x cos 
+ cos x sin 
= sin x (0) + cos x (1)
= 0 + cos x
= cos x
Mathematics
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Evaluate the expression.3-2
A. -9
B. 9
C. 
D. 
Mathematics
For the functions f(x) and g(x), determine the domain of (f + g)(x) (the sum of f and g).f(x) = 
, g(x) = -5x3
A. {x ? x is a real number and x ? 0} B. {x ? x is a real number} C. {x ? x is a real number and x ? -11} D. {x ? x is a real number and x ? 11}
Mathematics
Find the vertices and the foci of the given ellipse.
+ 
= 1
A. V: (-36, 0), (36, 0)
F: (-6, 0) and (6, 0)
B. V: (-6, 0), (6, 0);
F:(- 3
, 0), (3
, 0)
C. V: (0, -6), (0, 6);
F: (0, - 3
), (0, 3
)
D. V: (0, -9), (0, 9);
F: (0, -3) and (0, 3)
Mathematics
Convert. When necessary, round the answer to two decimal places.5 cups = fluid ounces
A. 20 B. 80 C. 40 D. 10
Mathematics