<![CDATA[Math Is Fun Forum / Trigonometry Formulas]]> 2018-04-27T08:48:10Z FluxBB https://www.mathisfunforum.com/viewtopic.php?id=3290 <![CDATA[Re: Trigonometry Formulas]]> ganesh wrote:

(Angles are given in degrees, 90 degrees, 180 degrees etc.)

I.
Sin(-θ)=-Sinθ
Cos(-θ) = Cosθ
tan(-θ) = -tanθ
cot(-θ) = -cotθ
sec(-θ) = secθ
cosec(-θ)= - cosecθ

II.
sin(90-θ) = cosθ
cos(90-θ) = sinθ
tan(90-θ) = cotθ
cot(90-θ) = tanθ
sec(90-θ) = cosecθ
cosec(90-θ) = secθ

III.
sin(90+θ) = cosθ
cos(90+θ) = -sinθ
tan(90+θ) = -cotθ
cot(90+θ) = -tanθ
sec(90+θ) = -cosecθ
cosec(90+θ) = secθ

IV.
sin(180-θ) = sinθ
cos(180-θ) = -cosθ
tan(180-θ) = -tanθ
cot(180-θ) = cotθ
sec(180-θ) = -secθ
cosec(180-θ) = cosecθ

V.
sin(180+θ) = -sinθ
cos(180+θ) = -cosθ
tan(180+θ) = tanθ
cot(180+θ) = cotθ
sec(180+θ) = -secθ
cosec(180+θ) = -cosecθ

cot(180-θ)=-cotθ
since cot(180-θ)=1/tan(180-θ)

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https://www.mathisfunforum.com/profile.php?id=219080 2018-04-27T08:48:10Z https://www.mathisfunforum.com/viewtopic.php?pid=403323#p403323
<![CDATA[Re: Trigonometry Formulas]]>

and CAT doesn't require the highest level of Geometry skills or Number theory skills. Beig familiar with UG level mathematics and to some extent PG level would do.

Hmm, its obvious because Cat opens the door for IIMs (best institute for management) just as IIT-JEE (or Jee advanced) opens the way for iits. There the problems are much tougher.

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https://www.mathisfunforum.com/profile.php?id=213230 2017-07-02T14:36:38Z https://www.mathisfunforum.com/viewtopic.php?pid=400011#p400011
<![CDATA[Re: Trigonometry Formulas]]> Hi;

The post has been rectified.

Cos(A - B) - Cos(A + B) = 2SinASinB

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https://www.mathisfunforum.com/profile.php?id=682 2017-07-01T07:35:29Z https://www.mathisfunforum.com/viewtopic.php?pid=399991#p399991
<![CDATA[Re: Trigonometry Formulas]]> Hi ganesh;

Please edit post #2, this is probably a typo Cos(A-B) - Cos(A-B) = 2SinASinB

Error spotted by Thuhina.

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https://www.mathisfunforum.com/profile.php?id=33790 2016-04-26T18:31:45Z https://www.mathisfunforum.com/viewtopic.php?pid=380005#p380005
<![CDATA[Re: Trigonometry Formulas]]> Hi;

At the request of a member I have cleaned this thread to only reflect proven formulas. Some errors as pointed out by John E. Franklin have now been checked and corrected.

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https://www.mathisfunforum.com/profile.php?id=33790 2012-01-24T03:54:57Z https://www.mathisfunforum.com/viewtopic.php?pid=199503#p199503
<![CDATA[Re: Trigonometry Formulas]]>

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https://www.mathisfunforum.com/profile.php?id=7997 2009-05-10T17:46:37Z https://www.mathisfunforum.com/viewtopic.php?pid=111547#p111547
<![CDATA[Re: Trigonometry Formulas]]>

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https://www.mathisfunforum.com/profile.php?id=7997 2008-11-22T13:47:01Z https://www.mathisfunforum.com/viewtopic.php?pid=99371#p99371
<![CDATA[Re: Trigonometry Formulas]]> New Formula:

tan(2u)=2/(cot(u)-tan(u))

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https://www.mathisfunforum.com/profile.php?id=1108 2008-01-31T20:42:32Z https://www.mathisfunforum.com/viewtopic.php?pid=87401#p87401
<![CDATA[Re: Trigonometry Formulas]]> Hi kavish2000,
I am sorry for the delay in replying,
Yes, I know about CAT, the general questioning pattern etc.
But what exactly do you want to know in Geometry and Number stuff?
Any prearatory CAT book gives the basics. And CAT doesn't require the highest level of Geometry skills or Number theory skills. Beig familiar with UG level mathematics and to some extent PG level would do.

The wikipedia always has much interesting stuff in geometric and number system, provided you know what exactly are the search words you use, and depending on your luck when choosing the relevance percentage.

There are some other interesting forums, sites on the net. If I were you, I would exhaust all search engines, and just hope I am lucky!

Not many engineers pursue the CAT, and most of them who do are likely to be successful. My cousin is one, just about my age, and he's now with an MNC at middle/top management.

My good wishes to you for the CAT, its November already. ]]>
https://www.mathisfunforum.com/profile.php?id=682 2007-11-03T14:00:37Z https://www.mathisfunforum.com/viewtopic.php?pid=81738#p81738
<![CDATA[Re: Trigonometry Formulas]]> ganesh wrote:

Formulas which express the sum or difference in product

Hey ganesh
i just joined this forum. i am an engineer. Am preparing for CAT exam.
am sure u knw abt CAT. (its this november) . So i was looking for some really interesting geometry and number system stuff
like some patterns or some formulaes
etc

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https://www.mathisfunforum.com/profile.php?id=9134 2007-09-07T16:22:21Z https://www.mathisfunforum.com/viewtopic.php?pid=77912#p77912
<![CDATA[Re: Trigonometry Formulas]]>  ]]>
https://www.mathisfunforum.com/profile.php?id=4454 2006-10-10T19:56:58Z https://www.mathisfunforum.com/viewtopic.php?pid=45328#p45328
<![CDATA[Re: Trigonometry Formulas]]> ]]>
https://www.mathisfunforum.com/profile.php?id=4454 2006-10-10T12:24:11Z https://www.mathisfunforum.com/viewtopic.php?pid=45078#p45078
<![CDATA[Re: Trigonometry Formulas]]> Hyperbolic Functions

Relation between circular and hyperbolic functions

Addition formulas for Hyperbolic functions

Periods of hyperbolic functions

Inverse Hyperbolic functions

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https://www.mathisfunforum.com/profile.php?id=682 2006-04-24T13:52:51Z https://www.mathisfunforum.com/viewtopic.php?pid=33812#p33812
<![CDATA[Re: Trigonometry Formulas]]> Properties of Triangles

Sine Formula (or  Law of Sines)

In any ΔABC,

Cosine  Formula (or Law of Cosines)

In any ΔABC,

These  formulas are also written as

Projection formulas

In any ΔABC,

Half-Angles and Sides

In any ΔABC,

Area of  a Triangle

Hero's fromula

Incircle and Circumcircle

A circle which touches the three sides of a traingle internally is called the incircle.The center of the circle is called the incentre and the raidus is called the inradius.

If r is the inradius, then

The  circle which passes through the vertices of a triangle is called the circumcircle of a triangle or circumscribing circle. The centre of this circle is the circumcentre and the radius of the circumcircle is the circumradius.

If R is the circumradius, then

If Δ is the area of the triangle,

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https://www.mathisfunforum.com/profile.php?id=682 2006-04-22T13:50:59Z https://www.mathisfunforum.com/viewtopic.php?pid=33728#p33728
<![CDATA[Re: Trigonometry Formulas]]> Properties of Inverse Trignometric Functions

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https://www.mathisfunforum.com/profile.php?id=682 2006-04-21T16:18:53Z https://www.mathisfunforum.com/viewtopic.php?pid=33703#p33703