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March 14th, 2011, 04:59 PM   #1
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Trigonometry Review Help!!

Hey guys, I came across some confusing questions in my textbook that I need some solutions/help on if possible.

1) Let (xy) be a point other than the origin on the terminal side of an angle in standard position. Let r be the distance from the origin to (x,y).

a) Match each term with its definition

Sin (theta)=______ (r/y, r/x, x/r, x/y)
Sec (theta)=______(r/y, r/x, x/r, x/y)
Tan (theta)=_______(r/y, r/x, x/r, x/y)
Cos (theta)=________(r/y, r/x, x/r, x/y)
Cot (theta)=_______(r/y, r/x, x/r, x/y)
csc (theta)=_______(r/y, r/x, x/r, x/y)

b) Math the two lists

Sec (theta)=_____((sin(theta)/cos(theta)), 1/tan(theta), 1/sin(theta), cos^2(theta)+sin^2(theta))

tan (theta)=______((sin(theta)/cos(theta)), 1/tan(theta), 1/sin(theta),cos^2(theta)+sin^2(theta))

1=_______((sin(theta)/cos(theta)), 1/tan(theta), 1/sin(theta), cos^2(theta)+sin^2(theta))

csc (theta)=______((sin(theta)/cos(theta)), 1/tan(theta), 1/sin(theta),cos^2(theta)+sin^2(theta))

cot (theta)=_____((sin(theta)/cos(theta)), 1/tan(theta), 1/sin(theta), cos^2(theta)+sin^2(theta))

c) Math the two lists

1=_____(cos(3pi/2), tan180, sec(pi), cos(pi/2), tan(pi/2), csc pi, tan(3pi/2), sec(2pi) )

0=_____(cos(3pi/2), tan180, sec(pi), cos(pi/2), tan(pi/2), csc pi, tan(3pi/2), sec(2pi) )

-1=______(cos(3pi/2), tan180, sec(pi), cos(pi/2), tan(pi/2), csc pi, tan(3pi/2), sec(2pi) )

undefined=______(cos(3pi/2), tan180, sec(pi), cos(pi/2), tan(pi/2), csc pi, tan(3pi/2), sec(2pi) )

I would appreciate some assistance on these questions, Thank you!!! p.s. If anything is unclear let me know.
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March 14th, 2011, 06:15 PM   #2
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Re: Trigonometry Review Help!!

Please see viewtopic.php?f=37&t=19563

I'll get you started though.
Do you know "SOHCAHTOA" ?? If not, google that now.

Then, make the following identifications:
r = Hypothesis
x = Adjacent
y = Opposite.
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March 14th, 2011, 06:32 PM   #3
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Re: Trigonometry Review Help!!

a) From the following, we can derive the answers:

and thus:













b)











c) For these we can use (where k is an integer):













Now, we can answer the questions:















Thanks from orangerify and lilili
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March 14th, 2011, 06:35 PM   #4
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Re: Trigonometry Review Help!!

Quote:
Originally Posted by The Chaz
...
Do you know "SOHCAHTOA" ??...
We were taught "Oscar Had A Heap Of Apples."

Btw, If I hadn't already typed all that out above, I would've refrained from posting!
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March 14th, 2011, 07:32 PM   #5
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Re: Trigonometry Review Help!!

There you go, SPOILING the users again...
I was hoping to see some of rule #(-4) surface!
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March 14th, 2011, 09:43 PM   #6
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Re: Trigonometry Review Help!!

I'm learning through the shown solutions. I'm a visual learner to begin with, and seeing the solutions at hand, helps me proceed with other questions in the text. In the end of it all, this helps me through exams. So thank you!!
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March 15th, 2011, 07:49 AM   #7
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Re: Trigonometry Review Help!!

Quote:
Originally Posted by The Chaz
Please see viewtopic.php?f=37&t=19563

I'll get you started though.
Do you know "SOHCAHTOA" ?? If not, google that now.

Then, make the following identifications:
r = Hypothesis [color=#FF0000]<======== I like that, The Chaz!! Revolutionary![/color]
x = Adjacent
y = Opposite.
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March 15th, 2011, 09:19 AM   #8
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Re: Trigonometry Review Help!!

What can I say?
Q
E
D
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March 15th, 2011, 10:52 AM   #9
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Re: Trigonometry Review Help!!

This forum alone is helping me get through my calculus course. So I appreciate whoever created such a site
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March 15th, 2011, 10:58 AM   #10
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Re: Trigonometry Review Help!!

Quote:
Originally Posted by ProJO
This forum alone is helping me get through my calculus course. So I appreciate whoever created such a site
Sweet! I'm sure julien will be glad to hear of your gratitude.
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