Can someone please check a trig function worksheet for me? I'm practicing! :)

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- karatechopper

Can someone please check a trig function worksheet for me? I'm practicing! :)

- chestercat

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- lfreeman1285

I might be able to help!

- karatechopper

Thanks! @IFreeman1285

##### 1 Attachment

- Nnesha

https://www.mathsisfun.com/geometry/images/circle-unit-304560.gif :=)

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## More answers

- Loser66

WWWWWWWWWWWWWooooooooooooooooah!! you memorize all of them??? A/MA/Zing

- karatechopper

Didn't memorize! I use the hand method. :)

- Loser66

teach me, please

- lfreeman1285

memorizing them isn't incredibly difficult, I had to for precalculus. These look correct! I didn't find any mistakes in my quick glance. I'll continue looking though.

- karatechopper

So basically each finger on the hand has a different angle.
Thumb-90
Index-60
Middle-45
Ring-30
Thumb-0
The palm is always 2.
On top= cosine (side where the thumb points up)
On bottom=sine (side where the pinky finger is)
Say for example we are given the problem find Cos(pi/6)
We know that pi/6 is a 30 degree angle, thus we put our ring finger down. We also can tell from the unit circle that when cos is pi/6, cos is positive.
We put our ring finger down and then see that we have up on the cosine side above the folded finger. We have 3 fingers (ON TOP-COSINE)
Now, anytime we look at the fingers, we need to square root them.
So we say sqrt of 3, and then we put the value above the 2 in the palm bc this isn't Tangent or Cotangent where we have to look at both Sine and Cosine.
Therefore, the answer for cos(pi/6) is sqrt3/2.
Make sense? :)

- karatechopper

Thank you free man! Yeah this is a precalc review for a calc quiz I'm taking tomorrow haha.

- karatechopper

@Loser66 there's an explanation example for the hand method I use.

- Loser66

Thank you.

- lfreeman1285

it looks like you're going to do well on that quiz then haha

- karatechopper

I would hope so! Are they all correct? The quiz tomorrow is timed and I have a lot of other tests/discussions, and work in school tomorrow. I hope I'm not worn out by the time I get to this quiz! :) .

- Nnesha

tan 120 is it -sqrt{3} or positive ?

- lfreeman1285

It's negative, because its in the second quadrant.

- Nnesha

http://prntscr.com/8at9tn looks like square root
tan isn't positive in 2nd q

- Nnesha

no i mean on the worksheet
:) there is just sqrt{3}

- lfreeman1285

Tangents are negative in the second and fourth.
Cosines are negative in the second and third.
Sines are negative in the third and fourth.

- lfreeman1285

So just being careful about which quadrant everything is in should help. Drawing the circle at the top of the test is what helped me.

- Nnesha

yes i know.

- Nnesha

that question was for kara :D

- karatechopper

Thanks!!!

- karatechopper

Help a lot guys!

- karatechopper

Have a good day/night everyone! :) x

- Nnesha

csc =1/sin so\[\huge\rm csc(\frac{ 7\pi }{ 6 })=\frac{ 1 }{ \frac{ -1 }{ 2 } }\]

- karatechopper

-2!

- Nnesha

yes there is -1/2 on the wrkshet

- karatechopper

Lol yeah I just saw that haha. Fixed, thank you! :) x

- Nnesha

11) sec 180 is wrong
there is no way you can get 1 for sec
tan can be one

- Nnesha

good job :)
3 mistakes i guess typoz :D
tan 120
sec 180
csc (7pi/6) :=)

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