 47.R.0: Update your journal with what you have learned in this chapter. Inc...
 47.R.1: Figure 47a shows a unit circle and an angle in standard position. ...
 47.R.2: a. Write equations expressing tan x and cot x in terms of sin x and...
 47.R.3: a. Transform tan A sin A + cos A to sec A. What values of A are exc...
 47.R.4: a. Find the general solution for = arcsin 0. b. Solve 1 + tan 2 (x ...
 47.R.5: a. Plot the graph of this parametric function on your grapher. Sket...
 47.R.6: a. Using parametric mode on your grapher, duplicate the graph of th...
 47.C.1: Pendulum Problem: Figure 47d shows a pendulum hanging from the cei...
 47.C.2: Prove that each of these equations is an identity. a. b. C
 47.C.3: Square of a Sinusoid Problem: Figure 47e shows the graphs of y1 = ...
 47.T.1: Write the Pythagorean property for cosine and sine. T
 47.T.2: Write a quotient property involving cosine and sine. T
 47.T.3: Write the reciprocal property for cotangent. T
 47.T.4: Write the reciprocal property for secant. T
 47.T.5: The value of sin1 0.5 is 30. Write the general solution for = arcsi...
 47.T.6: The value of tan1 is . Write the general solution for x = arctan . T
 47.T.7: Explain why the range of y = cos1 x is [0, ] but the range of y = s...
 47.T.8: Find geometrically the exact value of cos (tan1 2). T
 47.T.9: Transform (1 + sin A)(1 sin A) to cos2 A. What values of A are excl...
 47.T.10: Prove that tan B + cot B = csc B sec B is an identity. What values ...
 47.T.11: Multiply the numerator and denominator of by the conjugate of the d...
 47.T.12: Plot the graphs of both expressions in T11 to confirm that the two ...
 47.T.13: With your calculator in degree mode, find the value of cos1 0. Show...
 47.T.14: Find another angle between 0 and 360 whose cosine is 0. Show it on ...
 47.T.15: Write the general solution for the inverse trigonometric relation =...
 47.T.16: Find the fifth positive value of for which cos = 0. How many revolu...
 47.T.17: Find algebraically the general solution for 4 tan ( 25) = 7 T1
 47.T.18: Write parametric equations for this ellipse (Figure 47f). Figure 4...
 47.T.19: Write the parametric equations you use to plot y = arctan x (Figure...
 47.T.20: What did you learn as a result of working this test that you did no...
Solutions for Chapter 47: Trigonometric Function Properties, Identities, and Parametric Functions
Full solutions for Precalculus with Trigonometry: Concepts and Applications  1st Edition
ISBN: 9781559533911
Solutions for Chapter 47: Trigonometric Function Properties, Identities, and Parametric Functions
Get Full SolutionsChapter 47: Trigonometric Function Properties, Identities, and Parametric Functions includes 30 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911. Since 30 problems in chapter 47: Trigonometric Function Properties, Identities, and Parametric Functions have been answered, more than 19593 students have viewed full stepbystep solutions from this chapter.

Amplitude
See Sinusoid.

Constant
A letter or symbol that stands for a specific number,

Continuous function
A function that is continuous on its entire domain

Conversion factor
A ratio equal to 1, used for unit conversion

Degree
Unit of measurement (represented by the symbol ) for angles or arcs, equal to 1/360 of a complete revolution

Domain of a function
The set of all input values for a function

Doubleangle identity
An identity involving a trigonometric function of 2u

Focus, foci
See Ellipse, Hyperbola, Parabola.

Inverse composition rule
The composition of a onetoone function with its inverse results in the identity function.

Logarithmic reexpression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

Nautical mile
Length of 1 minute of arc along the Earthâ€™s equator.

Reciprocal of a real number
See Multiplicative inverse of a real number.

Reflection through the origin
x, y and (x,y) are reflections of each other through the origin.

Resolving a vector
Finding the horizontal and vertical components of a vector.

Statistic
A number that measures a quantitative variable for a sample from a population.

Sum of a finite geometric series
Sn = a111  r n 2 1  r

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

Unit circle
A circle with radius 1 centered at the origin.

Vertex of a parabola
The point of intersection of a parabola and its line of symmetry.

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