language use 22 videos
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Using Trigonometric Identities
Trigonometry Trigonometric Functions
How to simplify a trigonometric expression by converting to sines and cosines and using algebra.
reciprocal identities -
Using Sine to Calculate the Area of a Triangle
Trigonometry Basic Trigonometry
How to calculate the area of any triangle using two sides and an included angle.
area of a triangle sine -
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 -
Using the Inverse Trigonometric Functions
Trigonometry Advanced Trigonometry
How to evaluate expressions like tan(sin (4/5))^(-1).
sine cosine tangent inverse sine inverse cosine inverse tangent the unit circle -
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 -
The Law of Cosines
Trigonometry Basic Trigonometry
How to define and use the law of cosines.
law of cosines ratios triangles -
Equation of a Circle
Trigonometry Pythagorean Theorem
How to derive the equation for a circle using the distance formula.
distance formula radius center circle -
Radian Measure of Angles
Trigonometry Trigonometric Functions
How to measure angles using degrees or radians.
angle degree measure acute angle right angle obtuse angle radian measure -
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 -
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 -
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 -
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 -
Inverse Trigonometric Functions
Trigonometry Basic Trigonometry
How to use inverse trig functions to find angles in right triangles.
trigonometry right triangle inverse sine cosine tangent -
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 -
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 -
The Double-Angle Formulas
Trigonometry Advanced Trigonometry
How to use the sine and cosine addition formulas to prove the double-angle formulas.
the sine of a sum formula the cosine of a sum formula the sine double angle formula the cosine double angle formula -
The Half-Angle Identities
Trigonometry Advanced Trigonometry
How to use the power reduction formulas to derive the half-angle formulas.
the power reduction formulas the half angle formulas quadrants -
45-45-90 Triangles
Trigonometry Pythagorean Theorem
How to find the length of a leg or hypotenuse in a 45-45-90 triangle using the Pythagorean Theorem.
isosceles right triangle leg hypotenuse Pythagorean theorem square root
