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End PgDn Alt Ctrl Ins Del Math 114 Farmer Homework Due: Name: ou must show a rea

ID: 2920059 • Letter: E

Question

End PgDn Alt Ctrl Ins Del Math 114 Farmer Homework Due: Name: ou must show a reasonable amount of work to receive full credit (if in doubt, show it) on tmis page: Radicals in your answers must be simplified and denomi ators must be rationalized Find the values of x and y so that the arc between (1.0) and (x.y) on the unit circle has the gven length. give exact coordinates. In (b), round the coordinates to the nearest hundredth 7 TT a. Arc length b. Arc length=82 2. Let t be the length of an arc on the unit circle that is intercepted by an angle in standard position ? Briefly explain How many values of t correspond to an arc that has an endpoint at G,- a. b. Find one of these values of t, and explain/show how you determined your answer 3. Determine algebraically whether the function f(x) - cos x -x tan x is even, odd, or neither.

Explanation / Answer

3) f(x) = cos(x) - (x)tan(x)

=> f(-x) = cos(-x) - (-x)tan(-x)

=> f(-x) = cos(x) - (x)tan(x) = f(x)

=> f(-x) = f(x)

=> f(x) is an even function