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Usha Rani

M.Sc Mathematics - Gold Medalist

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Algebra

**Algebra**- is a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.

**Sample Questions:**

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Prealgebra

**Prealgebra**- the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations.

**Sample Questions:**

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Precalculus

**Precalculus**- A course of study taken as a prerequisite for the study of calculus, usually involving advanced algebra and trigonometric functions.

**Sample Questions:**

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Geometry

**Geometry**- The branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogues.

**Sample Questions:**

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Trigonometry

**Trigonometry**- The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

**Sample Questions:**

1. Why is the magnitude of the sum of two vectors less than or equal to the sum of the magnitudes of each vector? Please be as detailed as possible.

2. 1)Explain why you will get an error for cos-1(-1.008). Specific.2) Solve algebraically, 2sin(3x)-1=0, give the first exact positive solutions.