Question

@vocaloid Can you just help me with this? This is all I need help with.(:

Answer 1

23. C
24. B

These are my answers, but I think they're wrong..

Answer 2

let's work through them together and see if you're right

Answer 3

Okay. Thank you.

Answer 4

so for the first one, we can factor out cos(theta) to get

[ 2sin(theta) + sqrt(3) ] * cos(theta) = 0

which means we set

cos(theta) = 0
and
2sin(theta) + sqrt(3) = 0 meaning that sin(theta) = -sqrt(3)/2

then we go to the unit circle to see which ones match

Answer 5

Would that make it C? Or is that an option that can be factored out?

Answer 6

for cos(theta) we get the values

pi/2 and 3pi/2

for sin(theta) we get

4pi/3 and 5pi/3

Answer 7

so option A

Answer 8

Ohh alright, that makes sense now. What about the other one?

Answer 9

we do a quick sketch of a triangle with the point 6,8

Answer 10

the hypotenuse is 10 (using pythagorean theorem)