(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)= - cosecθII.
sin(90-θ) = cosθ
cos(90-θ) = sinθ
tan(90-θ) = cotθ
cot(90-θ) = tanθ
sec(90-θ) = cosecθ
cosec(90-θ) = secθIII.
sin(90+θ) = cosθ
cos(90+θ) = -sinθ
tan(90+θ) = -cotθ
cot(90+θ) = -tanθ
sec(90+θ) = -cosecθ
cosec(90+θ) = secθIV.
sin(180-θ) = sinθ
cos(180-θ) = -cosθ
tan(180-θ) = -tanθ
cot(180-θ) = cotθ
sec(180-θ) = -secθ
cosec(180-θ) = cosecθV.
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)
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.
]]>The post has been rectified.
Cos(A - B) - Cos(A + B) = 2SinASinB
]]>Please edit post #2, this is probably a typo Cos(A-B) - Cos(A-B) = 2SinASinB
Error spotted by Thuhina.
]]>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.
]]>tan(2u)=2/(cot(u)-tan(u))
]]>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.
]]>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
Relation between circular and hyperbolic functions
Addition formulas for Hyperbolic functions
Periods of hyperbolic functions
Inverse Hyperbolic functions
]]>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,
]]>