Given that f(x) = sin x, g(x) = cos x, and h(x) = tan x, evaluate the given function. The point (x, ), on the circle , also lies on the terminal side of an angle ? in standard position. The point , on the circle , also lies on the terminal side of an angle ? in quadrant IV. f(? - ?)

A.
B.
C.

D.


Answer: D

Mathematics

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Decide which of the 5 properties of a commutative group (closure, identity, inverse, associative, commutative) hold for the given system.

A. Closure, identity, associative, and commutative only B. None of them C. Closure, identity, inverse, and associative only D. Closure, identity, and commutative only

Mathematics

For the given slope of line l1, (a) find the slope of line a l2 parallel to l1, and (b) find the slope of a line l3 perpendicular to l1.m = 10

A. (a) 10; (b) - 
B. (a) 10; (b) 
C. (a) -10; (b) 10
D. (a) ; (b) 10

Mathematics

Solve the problem.At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by and the total cost function is given by , where x represents the number of boxes of computer chips produced. The total profit function, P(x), is such that . Find P(x).

A. P(x) = -0.3x2 + 50x - 8 B. P(x) = 0.3x2 + 48x - 24 C. P(x) = -0.3x2 + 48x + 8 D. P(x) = 0.3x2 + 50x - 16

Mathematics

Determine whether the given function is one-to-one. If it is one-to-one, find a formula for the inverse.f(x) = 

A. f-1(x) = 
B. f-1(x) = (x + 3)2
C. Not one-to-one
D. f-1(x) = x2 - 3, x ? 0

Mathematics