the pythagorean identities 19 videos

Trigonometric Identities
Trigonometry Trigonometric 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
Trigonometry Trigonometric Functions
How to define the reciprocal trigonometric functions, the reciprocal identities, and the Pythagorean identities.
identities the unit circle reciprocal identities the Pythagorean identities 
Converse of the Pythagorean Theorem
Trigonometry Pythagorean 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
Trigonometry Trigonometric 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
Trigonometry Pythagorean 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
Trigonometry Pythagorean 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
Trigonometry Pythagorean 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
Trigonometry Advanced Trigonometry
How to use the sine and cosine addition formulas to prove the cofunction identities.
the cosine addition formulas the sine addition formulas 
Graphing the Reciprocal Trigonometric Functions
Trigonometry Trigonometric 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 Π@" identities 
Other Forms of the Cosine DoubleAngle Formula
Trigonometry Advanced Trigonometry
How to derive two more cosine doubleangle formulas.
the Pythagorean identity the cosine double angle formulas 
The HalfAngle Identities
Trigonometry Advanced Trigonometry
How to use the power reduction formulas to derive the halfangle formulas.
the power reduction formulas the half angle formulas quadrants 
454590 Triangles
Trigonometry Pythagorean Theorem
How to find the length of a leg or hypotenuse in a 454590 triangle using the Pythagorean Theorem.
isosceles right triangle leg hypotenuse Pythagorean theorem square root 
Asymptotes of Secant, Cosecant, and Cotangent
Trigonometry Trigonometric Functions
How to find the vertical asymptotes of secant, cosecant, and cotangent.
reciprocal identities vertical asymptotes 
Distance Formula
Trigonometry Pythagorean Theorem
How to derive the equation for the distance between two points using the Pythagorean Theorem.
distance coordinate plane ordered pair segment 
Transforming the Tangent Graph
Trigonometry Trigonometric Functions
How to graph y = tan(q) for one or more periods.
sine cosine tangent opposite angle identities intercepts asymptotes periodicity period 
The Sine Addition Formulas
Trigonometry Advanced Trigonometry
How to derive the sine of a sum formula.
cosine of a difference formula the cofunction identities the sine of a sum formula 
Square Root Operations
Trigonometry Pythagorean Theorem
How to simplify square roots using two different methods.
Pythagorean theorem simplifying square roots adding square roots multiplying square roots rationalizing roots 
Transforming the Cotangent Graph
Trigonometry Trigonometric Functions
How graph the cotangent function using five key points.
cosine sine cotangent even and odd functions the add pi identities period vertical asymptotes 
Transforming Secant and Cosecant
Trigonometry Trigonometric Functions
How graph the secant function using five key points.
even functions the add pi identities secant cosine vertical asymptotes period periodicity