Question

True?

Answer 1

good

I'm gonna move this to math

Answer 2

Okay =)

Answer 3

B

Answer 4

keep in mind when you solve for cos(theta) you get -1/2 not 1/2

so cos(theta) = -1/2 check the unit circle to find the appropriate angles

Answer 5

C

Answer 6

so 2pi/3 and 4pi/3 option D

Answer 7

well the first step would be to isolate csc(x), what do you get there?

Answer 8

4csc(x) + 6 = -2

subtracting 6 from both sides:

4csc(x) = -8

divide both sides by 4

csc(x) = -2

re-writing csc in terms of sine gives us

1/sin(x) = -2

so sin(x) = -1/2 which would be which angles?

Answer 9

B

Answer 10

check the unit circle again, where does sin(x) = -1/2

Answer 11

Ugh Im getting b because of the -1/2

Answer 12

keep in mind: for the unit circle, the order of coordinates is cos(theta), sin(theta) so sin is the second coordinate making 7pi/6 and 11pi/6 your desired values

Answer 13

False

Answer 14

I plugged it into a calculator and I got -1 as the result so this must be true

Answer 15

False

Answer 16

good

Answer 17

A

Answer 18

hm not quite

when you solved for sec(x) you should have gotten sec(x) = 1

so 1/cos(x) = 1 meaning that cos(x) = 1, what x value makes this true?

Answer 19

NOt D

Answer 20

cos(x) = 1 at 0 so yes, D is your sol'n

Answer 21

well looking at our good friend the UC we know that tan(theta) = sin/cos which is -1 at these two values

Answer 22

B

Answer 23

now, keep in mind, the problem is tan(x/2) = -1

so if x/2 = 7pi/4 or 3pi/4 what might be a viable solution for x?

Answer 24

B??

Answer 25

good so B is your sol'n

Answer 26

C

Answer 27

yup good

Answer 28

A

Answer 29

check your calculations again

when does tan(x) = 0 and where does tan(x) = 1

Answer 30

C

Answer 31

so tan(x) = 0 on integer multiples of pi, tan(x) = 1 on pi/4, 5pi/4, which answer choice best describes these solutions?

Answer 32

B

Answer 33

good

Answer 34

True?

Answer 35

when you factor this you'll get

(2sin(x)+1))(sinx - 1) = 0, x = 3pi/2 is not a solution, so false