## CAT Important Formulae: Trigonometry & Coordinate Geometry

Trigonometry and Coordinate Geometry are two major topics in the CAT examination. This part might be a scoring section if the candidates are aware of all the formulae necessary to solve this section.

Let's take a look at all the important formulae for Trigonometry and Coordinate Geometry.

Trigonometric Identities:

Sine=Opposite/Hypotenuse

Secant=Hypotenuse/Adjacent

Cosine=Adjacent/Hypotenuse

Tangent=Opposite/Adjacent

Co−Secant=Hypotenuse/Opposite

Co−Tangent=Adjacent/Opposite

The reciprocal identities are given:

CosecΘ=1/sinΘ

secΘ=1/cosΘ

cotΘ=1/tanΘ

sinΘ=1/CosecΘ

cosΘ=1/secΘ

tanΘ=1/cotΘ

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Coordinate Geometry

The Distance Between two Points A and B:

AB² = (Bx – Ax)² + (By – Ay)²

The midpoint of the line joining the points (x1, y1) and (x2, y2) is:

[½(x1 + x2), ½(y1 + y2)]

The equation of a line which has gradient m and which passes through the point (x1, y1) is:

y – y1 = m(x – x1)

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