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# Solutions for Chapter 7.5: Half-Angle Identities ## Full solutions for Algebra and Trigonometry, | 3rd Edition

ISBN: 9780840068132 Solutions for Chapter 7.5: Half-Angle Identities

Solutions for Chapter 7.5
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##### ISBN: 9780840068132

This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Algebra and Trigonometry,, edition: 3. Chapter 7.5: Half-Angle Identities includes 80 full step-by-step solutions. Since 80 problems in chapter 7.5: Half-Angle Identities have been answered, more than 45979 students have viewed full step-by-step solutions from this chapter. Algebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132.

Key Calculus Terms and definitions covered in this textbook
• Aphelion

The farthest point from the Sun in a planet’s orbit

• Arcsecant function

See Inverse secant function.

• Causation

A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

• Combinatorics

A branch of mathematics related to determining the number of elements of a set or the number of ways objects can be arranged or combined

• Continuous function

A function that is continuous on its entire domain

• Domain of validity of an identity

The set of values of the variable for which both sides of the identity are defined

• Empty set

A set with no elements

• Equation

A statement of equality between two expressions.

• Implicitly defined function

A function that is a subset of a relation defined by an equation in x and y.

• nth root of a complex number z

A complex number v such that vn = z

• Numerical derivative of ƒ at a

NDER f(a) = ƒ1a + 0.0012 - ƒ1a - 0.00120.002

• Outliers

Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

• Perpendicular lines

Two lines that are at right angles to each other

• Power rule of logarithms

logb Rc = c logb R, R 7 0.

• Power-reducing identity

A trigonometric identity that reduces the power to which the trigonometric functions are raised.

• Product of complex numbers

(a + bi)(c + di) = (ac - bd) + (ad + bc)i

• Sample survey

A process for gathering data from a subset of a population, usually through direct questioning.

• Slant line

A line that is neither horizontal nor vertical

• Transformation

A function that maps real numbers to real numbers.

• z-coordinate

The directed distance from the xy-plane to a point in space, or the third number in an ordered triple.

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