 7.5.1: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.2: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.3: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.4: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.5: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.6: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.7: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.8: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.9: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.10: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.11: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.12: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.13: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.14: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.15: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.16: In Exercises 116, use the halfangle identities to find the exact v...
 7.5.17: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.18: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.19: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.20: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.21: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.22: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.23: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.24: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.25: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.26: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.27: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.28: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.29: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.30: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.31: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.32: In Exercises 1732, use the halfangle identities to find the desire...
 7.5.33: In Exercises 3338, simplify each expression using halfangle identi...
 7.5.34: In Exercises 3338, simplify each expression using halfangle identi...
 7.5.35: In Exercises 3338, simplify each expression using halfangle identi...
 7.5.36: In Exercises 3338, simplify each expression using halfangle identi...
 7.5.37: In Exercises 3338, simplify each expression using halfangle identi...
 7.5.38: In Exercises 3338, simplify each expression using halfangle identi...
 7.5.39: In Exercises 3950, verify the identities.
 7.5.40: In Exercises 3950, verify the identities.
 7.5.41: In Exercises 3950, verify the identities.
 7.5.42: In Exercises 3950, verify the identities.
 7.5.43: In Exercises 3950, verify the identities.
 7.5.44: In Exercises 3950, verify the identities.
 7.5.45: In Exercises 3950, verify the identities.
 7.5.46: In Exercises 3950, verify the identities.
 7.5.47: In Exercises 3950, verify the identities.
 7.5.48: In Exercises 3950, verify the identities.
 7.5.49: In Exercises 3950, verify the identities.
 7.5.50: In Exercises 3950, verify the identities.
 7.5.51: In Exercises 5158, graph the functions.
 7.5.52: In Exercises 5158, graph the functions.
 7.5.53: In Exercises 5158, graph the functions.
 7.5.54: In Exercises 5158, graph the functions.
 7.5.55: In Exercises 5158, graph the functions.
 7.5.56: In Exercises 5158, graph the functions.
 7.5.57: In Exercises 5158, graph the functions.
 7.5.58: In Exercises 5158, graph the functions.
 7.5.59: If monthly profits are $3000 and monthly sales are $4000, find tan
 7.5.60: If monthly profits are p and monthly sales are s (where p s), find ...
 7.5.61: Consider the triangle below, where the vertex angle measures the eq...
 7.5.62: Consider the triangle below, where the vertex angle measures the eq...
 7.5.63: If , find given Solution: Write the halfangle identity for the sin...
 7.5.64: If , find given Solution: Write the halfangle identity for the sin...
 7.5.65: In Exercises 6568, determine whether each statement is true or false.
 7.5.66: In Exercises 6568, determine whether each statement is true or false.
 7.5.67: In Exercises 6568, determine whether each statement is true or false.
 7.5.68: In Exercises 6568, determine whether each statement is true or false.
 7.5.69: Prove that
 7.5.70: Prove that cota A 2 b seca A 2 b csca A 2 b tana A 2 cot a b = 2c...
 7.5.71: Find the values of x in the interval for which
 7.5.72: Find the values of x in the interval for which cota x 2 b 0
 7.5.73: Find the values of x in the interval for whic
 7.5.74: Find the values of x in the interval for whic
 7.5.75: With a graphing calculator, plot and for x range Is a good approxim...
 7.5.76: Using a graphing calculator, plot and for x range Is a good approxi...
 7.5.77: Using a graphing calculator, plot and for x range Is a good approxi...
 7.5.78: With a graphing calculator, determine whether is an identity by plo...
 7.5.79: With a graphing calculator, determine whether is an identity by plo...
 7.5.80: With a graphing calculator, determine whether is an identity by plo...
Solutions for Chapter 7.5: HalfAngle Identities
Full solutions for Algebra and Trigonometry,  3rd Edition
ISBN: 9780840068132
Solutions for Chapter 7.5: HalfAngle Identities
Get Full SolutionsThis 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: HalfAngle Identities includes 80 full stepbystep solutions. Since 80 problems in chapter 7.5: HalfAngle Identities have been answered, more than 45979 students have viewed full stepbystep solutions from this chapter. Algebra and Trigonometry, was written by and is associated to the ISBN: 9780840068132.

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.

Powerreducing 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.

zcoordinate
The directed distance from the xyplane to a point in space, or the third number in an ordered triple.