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Month: August 2021

sum and difference identities in trigonometry

Sum and Difference Identities – Formulas and Examples

The sum and difference identities of angles are trigonometric identities used to calculate the values of certain angles. These identities … Read more

Categories Trigonometry
half-angle identities in trigonometry

Half-angle identities – Formulas, proof and examples

Half-angle identities are trigonometric identities used to simplify trigonometric expressions and calculate the sine, cosine, or tangent of half-angles when … Read more

Categories Trigonometry
double angle identities in trigonometry

Double Angle Identities – Formulas, Proof and Examples

Double angle identities are trigonometric identities used to rewrite trigonometric functions, such as sine, cosine, and tangent, that have a … Read more

Categories Trigonometry
fundamental trigonometric identities

Fundamental Trigonometric Identities

Trigonometric identities are equations, which are true for any angle used. Trigonometric identities are used to rewrite trigonometric expressions and … Read more

Categories Trigonometry
formulas for the trigonometric identities

Formulas for the Trigonometric Identities

Trigonometric identities are useful when we want to rewrite or simplify trigonometric expressions. Trigonometric identities are true for every value … Read more

Categories Trigonometry
quotient identities in trigonometry

Quotient Identities – Formulas and Examples

Quotient identities are trigonometric identities that are written as fractions of the sine and cosine functions. The tangent forms a … Read more

Categories 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
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