Question

HELP TRIG QUESTIONS
a. One solution to sintheta=sqrt3/2 is theta=
b. One angle that is coterminal to the angle you found in part a is theta=
c. Another solution to the equation sintheta=sqrt3/2 is theta=
d. One angle that is coterminal to the angle that you found in part c is theta=

Answer 1

sorry i aint there yet

Answer 2

darn

Answer 3

use the unit circle

http://etc.usf.edu/clipart/43200/43215/unit-circle7_43215_lg.gif

find all of the points that have a y coordinate of sqrt(3)/2, then find the corresponding value of theta

Answer 4

there are only two points that have the y coordinate sqrt(3)/2 which are 2pi/3 and pi/3

Answer 5

and those two are coterminal to eachother

Answer 6

@jim_thompson5910

Answer 7

2pi/3 and pi/3 aren't coterminal

Answer 8

but you have the right values of theta

Answer 9

so confused then

Answer 10

which one you working on?

Answer 11

\[\sin(\theta)=\frac{\sqrt3}{2}\]?

Answer 12

yes

Answer 13

find a place on the unit circle where the second coordinate is \(\frac{\sqrt3}{2}\)
there are a couple of them
the angle is your answer

Answer 14

Step 1) find all points that have a y coordinate of sqrt(3)/2

step 2) Find the corresponding angles to those points. Those angles are pi/3 and 2pi/3

So that's why \(\Large \theta = \frac{\pi}{3}\) is a solution to \(\Large \sin(\theta)=\frac{\sqrt3}{2}\)

Also, \(\Large \theta = \frac{2\pi}{3}\) is another solution to \(\Large \sin(\theta)=\frac{\sqrt3}{2}\)

Answer 15

Stated another way:

\(\Large \sin\left(\frac{\pi}{3}\right)=\frac{\sqrt3}{2}\)

\(\Large \sin\left(\frac{2\pi}{3}\right)=\frac{\sqrt3}{2}\)

Answer 16

so then i was right.

Answer 17

but if there are only two and c. and d. are asking for the same thing then huh? how can there be four of them

Answer 18

`b. One angle that is coterminal to the angle you found in part a is theta=`

simply add 2pi to the answer you stated in part a)

Answer 19

4pi/3 and 2pi/3 again

Answer 20

so if you have pi/3 for part a)

then

pi/3 + 2pi = pi/3 + 2pi*(3/3)
pi/3 + 2pi = pi/3 + 6pi/3
pi/3 + 2pi = 7pi/3

the angles pi/3 and 7pi/3 are coterminal angles

Answer 21

Oh i see

Answer 22

if you have 2pi/3 for part a)

then

2pi/3 + 2pi = 2pi/3 + 2pi*(3/3)
2pi/3 + 2pi = 2pi/3 + 6pi/3
2pi/3 + 2pi = 8pi/3

the angles 2pi/3 and 8pi/3 are coterminal angles

Answer 23

`c. Another solution to the equation sintheta=sqrt3/2 is theta= `
simply state the other solution that wasn't mentioned in part a)

Answer 24

`d. One angle that is coterminal to the angle that you found in part c is theta=`
add 2pi to whatever your answer for part c) is

Answer 25

okay i think i get that