F3 the trigonometric function value of angle 0. 11)sec ?\"Tand 0 in quadrant IV

Question

F3 the trigonometric function value of angle 0. 11)sec ?"Tand 0 in quadrant IV Find tan D)-? Convert to degree measure. Round to two decimal place, if necessary. 12) 12) A) 154.29m" 8) 420 )154.29 D) 210 Determine whether the given function is one-to-one. If it is one-to-one, find a formula for the inverse. 13) f(x)-3 A)18 ) Not one-to-one Find the reference angle for the given angle. 14)-420 A) 30 B)-30 D)-67 Determine whether the graph is the graph of a function. 15) B) No A) Yes Graph the piecewise function. 0-4

Explanation / Answer

11). sec(?)=5/2

cos(?)=2/5 and sin(?)={?(5*5-2*2)}/5=(?21)/5

in 4th quadrant cos(x) is poritive and sin(x) is negative

so tan(x)=sin(x)/cos(x)=(?21)/2 ,               option D

12). 7?/6 conveting to radians

(7?/6)*(1800/?)=210          option D

13). y=8/(x-3)

for each value of x the value of y is unique so it is a one-one function

let Z=8/(x-3)            , cross-multiplying

xZ-3Z=8

x=(8+3Z)/Z

or it can be written as

f-1(x)=(3x+8)/x           option A

14). reference angle for -420

adding 360 to it to make a refrence angle

-420+360= -60,              option D

15). It is a piecewise function because there is for each value of x there is a single value of y

which is basically the definition of a function=a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output

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