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Reciprocal Trigonometric Functions

"There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and tangent. The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine ...

DeMoivre's Theorem

"We know how to multiply complex numbers, but raising complex numbers to a high integer power would involve a lot of computation. Fortunately we have DeMoivre's Theorem, which gives us a more simple s ...

Radian Angle Measure

"An angle is the figure formed by two rays with a common endpoint. We typically use degree measures when measuring angles, however we can use radian angle measure as an alternate way of measuring angl ...

Pythagorean Theorem Proofs

"The Pythagorean theorem states that in a right triangle the sum of its squared legs equals the square of its hypotenuse. The Pythagorean theorem is one of the most well-known theorems in mathematics ...

Pythagorean Theorem Converse

"If we know that the sum of two square sides in a triangle equals the square of the third side, we can conclude that the triangle is a right triangle. Pythagorean triples are commonly seen side length ...

Cotangent Graph

"Cotangent is the reciprocal trig function of tangent function and can be defined as cot(theta)=cos(theta)/sin(theta). It is an odd function, meaning cot(-theta)=-cot(theta), and it has the property ...

Cosine Ratios

"Right triangles have ratios that are used to represent their base angles. Cosine ratios, along with sine and tangent ratios, are ratios of two different sides of a right triangle. Cosine ratios are s ...

Cosine Addition Formula

"The cosine addition formula calculates the cosine of an angle that is either the sum or difference of two other angles. It arises from the law of cosines and the distance formula. By using the cosine ...

Complex Roots

"We can use a simple four-step guide to help us find complex roots, or the nth roots of complex numbers. These guidelines simplify for us the process of using DeMoivre's Theorem to find complex roots. ...

Complex Number Roots

"We can use DeMoivre's Theorem to calculate complex number roots. In many cases, these methods for calculating complex number roots can be useful, but for higher powers we should know the general four ...

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