Question

what values for theta(0≤theta≤2pi) satisfy the equation? 2sinthetacostheta+sqrt 3 theta

Answer 1

is there an equation?

Answer 2

yeah

Answer 3

ok so you meant to put =0 at the end

Answer 4

yeah

Answer 5

I'm really confused x.x why r practice packets so hard >:C

Answer 6

and the other cos thingy
but yeah anyways you can factor the left hand side
\[2 \sin(\theta)\cos(\theta)+\sqrt{3} \cos(\theta)=0 \\ \text{ factor out the } \cos(\theta) \\ \cos(\theta)[2 \sin(\theta)+\sqrt{3}]=0 \]

Answer 7

set both factors =0 and solve for theta

Answer 8

\[\cos(\theta) \text{ or } \sin(\theta) =\frac{-\sqrt{3}}{2}\]
use unit circle

Answer 9

??!!

Answer 10

forgot the =0 part :p

Answer 11

\[\cos(\theta)=0 \text{ or } \sin(\theta) =\frac{-\sqrt{3}}{2}\]
use unit circle *

Answer 12

??? wits the answer suppose to be :( explanation too pls

Answer 13

sin(theta) is the y-coordinate on the unit circle
find for what theta's you have the y value ( the second value) of the pair is -sqrt(3)/2

Answer 14

hint: look in quadrants 3 and 4

Answer 15

okie :( wait the answer is B??

Answer 16

sin(3pi/4) is not -sqrt(3)/2
it is sqrt(2)/2

Answer 17

so theres no answer? ._.

Answer 18

i didn't say that
i just said the option you chose is incorrect because sin(3pi/4) is not -sqrt(3)/2

Answer 19

did you look at the unit circle
you are looking for when the y-coordinate is -sqrt(3)/2

Answer 20

D

Answer 21

the hint I gave is to look in the 3rd and 4th quadrant

Answer 22

d??

Answer 23

https://www.mathsisfun.com/geometry/images/circle-unit-radians.gif
look at this picture
do you see the ordered pairs?

Answer 24

look at the second number of each pair
you are looking to for which theta you have the y coordinate is -sqrt(3)/2

Answer 25

can you tell me looking at that chart thing where you see y coordinate is -sqrt(3)/2

Answer 26

http://assets.openstudy.com/updates/attachments/51b77dfee4b0862d04986156-jim_thompson5910-1370981857004-trigonometry_tableexact.pdf

Answer 27

ok look at that chart
do you see under sin -sqrt(3)/2 ?

Answer 28

find it then use your finger and move it horizontally from that number to the theta number

Answer 29

OH I GET WUT MEAN ITS A DUH ITS 4PI/3 IM SO STUPID

Answer 30

yes sin(4pi/3)=-sqrt(3)/2

Answer 31

and sin(5pi/3)=-sqrt(3)/2

Answer 32

and of course cos(theta)=0 is easy to solve
and all of the choices included its answers which was pi/2 and 3pi/2

Answer 33

:D thnx so much here a medal

Answer 34

np