Find the exact value of csc (–1020)°.
a. 1/pi2
b. 1/2
c. 2/pi3
d. 2

2√3/3.

Step-by-step explanation:

-1020 / 360 = -2.8333

0.83333 * 360 = -300

-300 degrees  = 60 degrees.

sin 60 = √3/2

csc = 1/sin so:

csc  60 = 2/√3

= 2√3/3.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

20

step-by-step explanation: