zarkam21:
Helppp
Vocaloid:
there are technically multiple answers for this but taking a look at the unit circle, what is theta when cos(theta) = 1?
Vocaloid:
|dw:1520394524773:dw|
zarkam21:
0?
Vocaloid:
awesome, so degrees theta = 0, and coincidentally radians theta is also 0 then just find sin, tan, etc. for theta = 0
zarkam21:
all 0
zarkam21:
well sin is 0
zarkam21:
tan is 0 as well
Vocaloid:
good what about csc, sec, and cot?
zarkam21:
csc=undefined sec=1 cot=undefined
Vocaloid:
awesome that's it
zarkam21:
4.71
Vocaloid:
so where on the UC do you think tan would be sqrt(3)?
zarkam21:
for radians
Vocaloid:
hm? since degrees are 0 radians are 0 as well
zarkam21:
wait aren't we on the second chart
zarkam21:
oh shoot i was doing the third chart sorry
zarkam21:
okay so degree and radians are 0
Vocaloid:
yes
zarkam21:
theta would be 270?
Vocaloid:
for chart 2? I don't think so, tan(270) is not sqrt(3)
Vocaloid:
as a hint - since tan(theta) = sin(theta)/cos(theta) so select the point on the UC where sin/cos = sqrt(3), you might have to do some mental math
zarkam21:
um 5
Vocaloid:
it's not immediately obvious, but if we see this point:|dw:1520395252556:dw|
Vocaloid:
if we divide sin/cos we get sqrt(3)/2 divided by 1/2 which ends up being sqrt(3) so your angle is 60 degrees, convert that to radians then perform the rest of the calculations
zarkam21:
1.05
zarkam21:
1.04719755
Vocaloid:
actually that's right but let's leave in terms of pi, pi/3
Vocaloid:
so the radians would be pi/3 (as a general rule, we don't want to round until it tells us too, b/c we'll lose significant digits)
Vocaloid:
then calculate sin, cos, etc. for pi/3 or 60 degrees
zarkam21:
okay so sin(pi/3) cos(pi/3)
Vocaloid:
good, what would those equal?
zarkam21:
sin(pi/3)=sqrt3/2 cos(pi/3)=1/2 csc(pi/3)=2sqrt3/2 sec(pi/3)=2 cot(pi/3)=sqrt3/3
Vocaloid:
check csc again it doesn't look quite right
zarkam21:
2sqrt3/3
Vocaloid:
good
Vocaloid:
I'm ready for chart 3 if you have it
Vocaloid:
same process as before, simply convert 270 deg to radians, then fill out the rest of the table
zarkam21:
4.71
zarkam21:
for radians
Vocaloid:
good but let's try to leave it in terms of pi, that's a good general rule for radians 3pi/2
zarkam21:
sin(3pi/2)=-1 cos(3pi/2)=0 csc(3pi/2)=-1 sec(3pi/2)=undefined cot(3pi/2)=0
Vocaloid:
perfect
Vocaloid:
same thing w/ chart 4 just using 30 deg as the angle, convert to radians first, etc.
zarkam21:
0.52359878
zarkam21:
What would that be in terms of pi :/
Vocaloid:
when you multiply 30 degrees * (pi/180) without rounding pi, what do you get?
zarkam21:
pi/6
zarkam21:
right
Vocaloid:
yeah good, then just fill out the rest of the table
zarkam21:
sin(pi/6)=1/2 cos(pi/6)=sqrt2/3 tan(pi/6)=sqrt3/3 csc(pi/6)=2 sec(pi/6)=2sqrt3/3 cot(pi/6)=sqrt3
Vocaloid:
check cos again
zarkam21:
sqrt3/2
Vocaloid:
good, the rest are perfect
Vocaloid:
ok, so for #5 - if the angle is theta, convert this to degrees, then fill out the rest of the table
zarkam21:
180
Vocaloid:
good, then proceed w/ the calculations as usual
zarkam21:
it would just be sin(pi) righr
Vocaloid:
yes
zarkam21:
sin(pi)=0 cos(pi)=-1 tan(pi)=0 csc(pi)=undefined sec(pi)=-1 cot(pi)=undefined
Vocaloid:
perfect
Vocaloid:
for #6 take a look at the Unit Circle and see which angle corresponds to sin(theta) = root(2)/2
zarkam21:
3/2
Vocaloid:
|dw:1520398222139:dw|
Vocaloid:
so the angle is 45 degrees, proceed w/ the conversion/calculation as usual
zarkam21:
0.78539816
Vocaloid:
remember, if we want to get the radians in terms of pi, you'll have to manually convert it by multiplying (45 deg) by (pi/180) and leaving pi unrounded
zarkam21:
pi/4 sin(pi/4)=sqrt2/2 cos(pi/4)=sqrt2/2 tan(pi/4)=1 csc(pi/4)=sqrt2 sec(pi/4)=sqrt2 cot(pi/4)=1
Vocaloid:
awesome
Vocaloid:
is there anything after chart 6
zarkam21:
one more chart if you are up to it?
zarkam21:
if not we can continue tomorrow
Vocaloid:
yeah sure let's do it
Vocaloid:
ok, take another look at the UC, what angle does sin(theta) = 1?
zarkam21:
um
Vocaloid:
remember, your x and y coordinates are cos(theta), sin(theta)
zarkam21:
(1,0)
Vocaloid:
sin(theta) would be the y-coordinate what ~angle~ would the y-coordinate be 1?
zarkam21:
1
Vocaloid:
|dw:1520399078686:dw|
Vocaloid:
what angle corresponds to this point?
zarkam21:
oh sqrt2/2
Vocaloid:
|dw:1520399123081:dw|
Vocaloid:
check again, what angle corresponds to this point? you must look at the angle measurements as well as the coordinate point
zarkam21:
90
Vocaloid:
good, the angle is 90 degrees not root(2)/2
zarkam21:
1.57079633
zarkam21:
for radian qhich would be 1.57*(pi/180)
Vocaloid:
start with the degree measurement
Vocaloid:
90 * pi/180 = ?
Vocaloid:
[leave pi in its unrounded form]
zarkam21:
pi/2
Vocaloid:
good, then fill out the rest of the table
zarkam21:
cos(pi/2)=0 tan(pi/2)=undefined csc(pi/2)=1 sec(pi/2)=undefined cot(pi/2)=0
Vocaloid:
good
zarkam21:
Thank you, you can finally go to bed lol
Join our real-time social learning platform and learn together with your friends!
Bounty:
guys I'm losing all my motivation for school work how can I motivate myself to stop being lazy because even while I'm being on my work it still piles up and
albert14ring:
Can you give me suggestions on the fastest and most organized way to be ready early in the morning to go to school without any confusion or delay? The impor
Twaylor:
how to make good breakfast food ingredients : 1 mother flat bread bananas peanut
lovelove1700:
u00bfA quu00e9 hora es tu clase?Fill in the blanks Activity unlimited attempts left Completa.
glomore600:
find someone says that that one person your talking to doesn't really like you should I take their advice and leave or should I ask the person i'm talking t
Addif9911:
Him I dimmed the light that once felt mine, a glow I never meant to lose. I over-read the shadows, let voices crowd the room where only two hearts shouldu20
EdwinJsHispanic:
Poem to my mom who proved my point "You proved my point, I am a failure. but I kinda wish, you were my savior.