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Trigonometry

reciprocal identities

Reciprocal Identities – Formulas and examples

We have already become familiar with the trigonometric functions of sine, cosine, and tangent. These functions are written as fractions … Read more

Categories Trigonometry
Pythagorean identities

Pythagorean Identities – Formulas, Proof and Examples

Pythagorean identities are identities in trigonometry that are extensions of the Pythagorean theorem. Pythagorean identities are useful for simplifying trigonometric … Read more

Categories Trigonometry
triangle to derive the law of cosines

Law of Sines and Cosines – Formulas and Examples

The laws of sine and cosine are relations that allow us to find the length of one side of a … Read more

Categories Trigonometry
diagram of the law of cosines

Law of Cosines – Examples and Practice Problems

The law of cosines is an equation that relates the lengths of two sides of a triangle and their intermediate … Read more

Categories Trigonometry
diagram of the law of sines

Law of Sines – Examples and Practice Problems

The law of sines is an equation that allows us to relate the sines of an angle to their respective … Read more

Categories Trigonometry
diagram of the law of cosines

Law of Cosines – Formula, Proof and Examples

The law of cosines is the ratio of the lengths of the sides of a triangle with respect to the … Read more

Categories Trigonometry
diagram of the law of sines

Law of Sines – Formula, Proof and Examples

The law of sines indicates that the ratio of the sides of a triangle and the ratio of the sines … Read more

Categories Trigonometry
diagram of a right triangle with sides

Cotangent of an Angle – Formulas and Examples

The cotangent of an angle is the reciprocal of the tangent. Recall that the tangent is defined as the opposite … Read more

Categories Trigonometry
diagram of a right triangle with sides

Cosecant of an Angle – Formulas and Examples

The cosecant of an angle is defined with respect to the sides of a right triangle. In a right triangle, … Read more

Categories Trigonometry
diagram of a right triangle with sides

Secant of an Angle – Formulas and Examples

The secant of an angle can be calculated by relating the sides of a right triangle. The secant is defined … Read more

Categories Trigonometry
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