Chapter 13 Flashcards
(20 cards)
Square Root
Of a number is 1 of 2 identical factors of a number
Radical Sign
Square root sign
Radical Expression
Is an expression that contains a square root
Radicand
The number under the radical sign
Product Property of Square Roots
The square root of a product is equal to the product of each square root
Quotient Property of Square Roots
The square root of a quotient is equal to the quotient of each square root
Radical is in Simplest Form
When there are no perfect squared other than 1 in the radicand, the radicand is not a fraction and the denominator does contain a radical expression
45-45-90 triangle
Is an isosceles right triangle
Thm 13-1 45-45-90 Triangle Thm
In a 45-45-90 triangle, the hypotenuse is the square root of 2 times the length of a leg
30-60-90 triangle
Is a special right triangle with a 30 degree angle and a 60 degree angle
Thm 13-2 30-60-90 triangle Thm
In a 30-60-90 triangle the hypotenuse is twice the length of the shorter leg and the longer leg is the square root 3 times the length of the shorter leg
Trigonometry
Is the study of the properties of triangles
Trigonometry Ratio
Is a ratio of the measures of 2 sides of a right triangle
Tangent
If A is an acute angle of a right triangle then tan A= opposite leg/adjacent leg
Sine
If A is an acute angle of a right triangle then sin A= opposite leg/hypotenuse
Cosine
If A is an acute angle of a right triangle then cos A= adjacent leg/hypotenuse
The inverse of a trigonometric function
Is used to find the angle measurements
Trigonometric Identities
Relationships between trig functions that can be proven
Thm 13-3 Trig Identity Thm
If x is the measure of an acute angle of a right triangle then sin X/cos X=tan X
Perfect Square
Are products of 2 equal factors
