# the pythagorean identities   50 videos

• #### Trigonometric Identities

##### TrigonometryTrigonometric Functions

How to use the unit circle to derive the tangent identity and the Pythagorean identity.

identities the unit circle trigonometric identities the Pythagorean identity
• #### Trigonometric Identities

##### PrecalculusTrigonometric Functions

How to use the unit circle to derive the tangent identity and the Pythagorean identity.

identities the unit circle trigonometric identities the Pythagorean identity
• #### The Reciprocal Trigonometric Functions

##### TrigonometryTrigonometric Functions

How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.

identities the unit circle reciprocal identities the Pythagorean identities
• #### The Reciprocal Trigonometric Functions

##### PrecalculusTrigonometric Functions

How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.

identities the unit circle reciprocal identities the Pythagorean identities
• #### The Identity Matrix

##### PrecalculusSystems of Linear Equations and Matrices

How to determine the identity matrix of order n.

matrices square matrices the identity matrix matrix multiplication
• #### Converse of the Pythagorean Theorem

##### GeometryPythagorean Theorem

How to use the converse of the Pythagorean Theorem to determine if a triangle is a right triangle, how to use Pythagorean triples to memorize the lengths of certain right triangles.

right triangle leg hypotenuse converse Pythagorean triples
• #### Converse of the Pythagorean Theorem

##### TrigonometryPythagorean Theorem

How to use the converse of the Pythagorean Theorem to determine if a triangle is a right triangle, how to use Pythagorean triples to memorize the lengths of certain right triangles.

right triangle leg hypotenuse converse Pythagorean triples
• #### Using Trigonometric Identities

##### TrigonometryTrigonometric Functions

How to simplify a trigonometric expression by converting to sines and cosines and using algebra.

reciprocal identities
• #### Using Trigonometric Identities

##### PrecalculusTrigonometric Functions

How to simplify a trigonometric expression by converting to sines and cosines and using algebra.

reciprocal identities
• #### Using the Pythagorean Theorem to find a Missing Hypotenuse

##### GeometryPythagorean Theorem

How to calculate the hypotenuse in a right triangle given the lengths of the legs using the Pythagorean Theorem.

Pythagorean theorem leg hypotenuse right triangle
• #### Using the Pythagorean Theorem to find a Missing Leg

##### GeometryPythagorean Theorem

How to use the Pythagorean Theorem to find a missing leg, given the length of the hypotenuse and a leg.

Pythagorean theorem leg hypotenuse right triangle
• #### Using the Pythagorean Theorem to find a Missing Hypotenuse

##### TrigonometryPythagorean Theorem

How to calculate the hypotenuse in a right triangle given the lengths of the legs using the Pythagorean Theorem.

Pythagorean theorem leg hypotenuse right triangle
• #### Using the Pythagorean Theorem to find a Missing Leg

##### TrigonometryPythagorean Theorem

How to use the Pythagorean Theorem to find a missing leg, given the length of the hypotenuse and a leg.

Pythagorean theorem leg hypotenuse right triangle
• #### Pythagorean Theorem Proofs

##### GeometryPythagorean Theorem

How to prove the Pythagorean Theorem using Algebra to show the area of the smaller square plus the area of four triangles is equal to the area of the larger square.

right triangle area of a square binomial squared area of a triangle side leg hypotenuse
• #### Pythagorean Theorem Proofs

##### TrigonometryPythagorean Theorem

How to prove the Pythagorean Theorem using Algebra to show the area of the smaller square plus the area of four triangles is equal to the area of the larger square.

right triangle area of a square binomial squared area of a triangle side leg hypotenuse

• #### Using the Sine and Cosine Addition Formulas to Prove Identities

How to use the sine and cosine addition formulas to prove the cofunction identities.

• #### Using the Sine and Cosine Addition Formulas to Prove Identities

How to use the sine and cosine addition formulas to prove the cofunction identities.

• #### Graphing the Reciprocal Trigonometric Functions

##### TrigonometryTrigonometric Functions

How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.

identities the unit circle the cofunction identities the "add &#928@" identities
• #### Graphing the Reciprocal Trigonometric Functions

##### PrecalculusTrigonometric Functions

How to use the unit circle to derive identities that are useful in graphing the reciprocal trigonometric functions.

identities the unit circle the cofunction identities the "add &#928@" identities