Question

can someone help me fill this table out but also provide an explanation how to... pic attached

Answer 1

This is "solved" by memorizing

Answer 2

@haleylou56 Are you allowed to use a calculator ?

Answer 3

yes

Answer 4

Well then whats the problem ?

Answer 5

im not sure on how to enter the stuff in to find what im looking for

Answer 6

@haleylou56 Please tell me if you don't understand anything.

Answer 7

i dont understand anything lol

Answer 8

Do you see your table it says

\[\tan \theta = \sqrt{3}\]

Answer 9

@haleylou56

Answer 10

yes

Answer 11

Now if we take tan on the other side it becomes tan^-1

So,
\[\theta =\tan^{-1} (\sqrt{3})\]

Answer 12

@haleylou56 Is this understandable ?

Answer 13

yes

Answer 14

most people memorize the sin, cos and tan of 0,30,45,60 and 90 degrees
http://glare.hubpages.com/hub/How-to-figure-out-Sin-and-Cos-of-common-angles-in-one-minute#slide2709738

Answer 15

Now use you calculator to tell me

what

\[\theta =\]

Answer 16

60

Answer 17

Ok so now start filling your table we have got

\[\theta\ inn \ degrees\]

Answer 18

Now calculate

Sin(60)

Cos (60)

Answer 19

@haleylou56 Use your calculator.

Answer 20

sin60=.8660254038 thoiugh.....??

Answer 21

cos60=1/2?

Answer 22

0.866 Use the Function on the calculator which changes decimal to fractions.

Answer 23

how do i do that

Answer 24

Wait let me show you.

Answer 25

i went to mode an changed it from auto to fractions but its still giving me decimals

Answer 26

Do you see the S>>D button

Answer 27

It is above the del button.

Answer 28

no i have a ti-84

Answer 29

plus

Answer 30

nothings above my del

Answer 31

Well 0.866 is

\[\sqrt{3}/2\]

So now we have.

Answer 32

Now as we know

Sin=1/cosec

cos=1/sec

tan=1/cot

So you just find them for me now and tell me the values.

Answer 33

@haleylou56 Are you with me ?

Answer 34

idk how to enter it now

Answer 35

Ok

Cosec theta = 1/sin theta ,we found sin theta = underroot (3) /2

so.

Cosec theta=1/root(3)/2

=2/root(3)

Similarly find


Sec theta= 1/ cos theta
and
cot theta =1/tan theta

Answer 36

cos theta= 1/2(As we found out)
and
tan theta = root (3) (given)

Answer 37

@haleylou56 Respond ?

Answer 38

ok give me a sec

Answer 39

i dont have sec or csc or cot buttons

Answer 40

I know that,that is the reason i gave you formula to put into it and solve it.

Answer 41

oh gotcha

Answer 42

okay so sec=1/2 and cot=1/root3.....???

Answer 43

Cos theta = 1/2 and sec theta = 1/cos theta so =1/1/2 =2

Answer 44

oh okay i made a mstake entering it

Answer 45

is cot right??

Answer 46

I attached the chart.

Answer 47

thankyou sooo much... i understand a lot better

Answer 48

@haleylou56 Wait we are not yet done with one thing.

Answer 49

ok

Answer 50

i found the last thing it is radians?

Answer 51

157/150

Answer 52

How to convert degrees to radians.


R=Degrees* (pi/180)


Degrees = 60

Now solve.

Answer 53

i get 157.150 or 1.04719

Answer 54

No let the pi be there don't use its value.

Answer 55

1/3

Answer 56

Not 1/3,the answer will be pi/3

got it ?

Answer 57

yep

Answer 58

ok good.

Answer 59

what if i have 270 degrees would it be3pi/2

Answer 60

How to check whether you are right or wrong

3*180/2=270

Therfore,You are right.

Answer 61

im having trouble finding these last two things

Answer 62

pick sin theta = 0

theta=sin^-1(0)

theta=

Answer 63

0

Answer 64

What about radians ?

Answer 65

0 also

Answer 66

Good :)

Answer 67

ive got two more that im missing parts too

Answer 68

What is cos (45)=

Answer 69

and Sec 45 = 1/Cos 45

Answer 70

cos45=.707106

Answer 71

0.707 is 1/sq.root(2)

Answer 72

sec=root2

Answer 73

See this table and try to learn.