 5.1.1: Fill in the blank to complete the trigonometric identity sin u cos ...
 5.1.2: Fill in the blank to complete the trigonometric identity csc u ____...
 5.1.3: Fill in the blank to complete the trigonometric identity tan u ____...
 5.1.4: Fill in the blank to complete the trigonometric identity sec 1 ____...
 5.1.5: Fill in the blank to complete the trigonometric identity 1 ________...
 5.1.6: Fill in the blank to complete the trigonometric identity cotu ________
 5.1.7: Using Identities to Evaluate a Function In Exercises 714, use the g...
 5.1.8: Using Identities to Evaluate a Function In Exercises 714, use the g...
 5.1.9: Using Identities to Evaluate a Function In Exercises 714, use the g...
 5.1.10: Using Identities to Evaluate a Function In Exercises 714, use the g...
 5.1.11: Using Identities to Evaluate a Function In Exercises 714, use the g...
 5.1.12: Using Identities to Evaluate a Function In Exercises 714, use the g...
 5.1.13: Using Identities to Evaluate a Function In Exercises 714, use the g...
 5.1.14: Using Identities to Evaluate a Function In Exercises 714, use the g...
 5.1.15: Matching Trigonometric Expressions In Exercises 1520, match the tri...
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 5.1.19: Matching Trigonometric Expressions In Exercises 1520, match the tri...
 5.1.20: Matching Trigonometric Expressions In Exercises 1520, match the tri...
 5.1.21: Factoring a Trigonometric Expression In Exercises 2128, factor the ...
 5.1.22: Factoring a Trigonometric Expression In Exercises 2128, factor the ...
 5.1.23: Factoring a Trigonometric Expression In Exercises 2128, factor the ...
 5.1.24: Factoring a Trigonometric Expression In Exercises 2128, factor the ...
 5.1.25: Factoring a Trigonometric Expression In Exercises 2128, factor the ...
 5.1.26: Factoring a Trigonometric Expression In Exercises 2128, factor the ...
 5.1.27: Factoring a Trigonometric Expression In Exercises 2128, factor the ...
 5.1.28: Factoring a Trigonometric Expression In Exercises 2128, factor the ...
 5.1.29: Factoring a Trigonometric Expression In Exercises 2932, factor the ...
 5.1.30: Factoring a Trigonometric Expression In Exercises 2932, factor the ...
 5.1.31: Factoring a Trigonometric Expression In Exercises 2932, factor the ...
 5.1.32: Factoring a Trigonometric Expression In Exercises 2932, factor the ...
 5.1.33: Multiplying Trigonometric Expressions In Exercises 33 and 34, perfo...
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 5.1.35: Simplifying a Trigonometric Expression In Exercises 3544, use the f...
 5.1.36: Simplifying a Trigonometric Expression In Exercises 3544, use the f...
 5.1.37: Simplifying a Trigonometric Expression In Exercises 3544, use the f...
 5.1.38: Simplifying a Trigonometric Expression In Exercises 3544, use the f...
 5.1.39: Simplifying a Trigonometric Expression In Exercises 3544, use the f...
 5.1.40: Simplifying a Trigonometric Expression In Exercises 3544, use the f...
 5.1.41: Simplifying a Trigonometric Expression In Exercises 3544, use the f...
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 5.1.43: Simplifying a Trigonometric Expression In Exercises 3544, use the f...
 5.1.44: Simplifying a Trigonometric Expression In Exercises 3544, use the f...
 5.1.45: Adding or Subtracting Trigonometric Expressions In Exercises 4548, ...
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 5.1.47: Adding or Subtracting Trigonometric Expressions In Exercises 4548, ...
 5.1.48: Adding or Subtracting Trigonometric Expressions In Exercises 4548, ...
 5.1.49: Rewriting a Trigonometric Expression In Exercises 49 and 50, rewrit...
 5.1.50: Rewriting a Trigonometric Expression In Exercises 49 and 50, rewrit...
 5.1.51: Trigonometric Functions and Expressions In Exercises 51 and 52, use...
 5.1.52: Trigonometric Functions and Expressions In Exercises 51 and 52, use...
 5.1.53: Trigonometric Substitution In Exercises 5356, use the trigonometric...
 5.1.54: Trigonometric Substitution In Exercises 5356, use the trigonometric...
 5.1.55: Trigonometric Substitution In Exercises 5356, use the trigonometric...
 5.1.56: Trigonometric Substitution In Exercises 5356, use the trigonometric...
 5.1.57: Trigonometric Substitution In Exercises 57 and 58, use the trigonom...
 5.1.58: Trigonometric Substitution In Exercises 57 and 58, use the trigonom...
 5.1.59: Solving a Trigonometric Equation In Exercises 59 and 60, use a grap...
 5.1.60: Solving a Trigonometric Equation In Exercises 59 and 60, use a grap...
 5.1.61: Rewriting a Logarithmic Expression In Exercises 6164, rewrite the e...
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 5.1.63: Rewriting a Logarithmic Expression In Exercises 6164, rewrite the e...
 5.1.64: Rewriting a Logarithmic Expression In Exercises 6164, rewrite the e...
 5.1.65: Friction The forces acting on an object weighing units on an inclin...
 5.1.66: Rate of Change The rate of change of the function is given by the e...
 5.1.67: The even and odd trigonometric identities are helpful for determini...
 5.1.68: A cofunction identity can transform a tangent function into a cosec...
 5.1.69: Finding Limits of Trigonometric Functions In Exercises 69 and 70, f...
 5.1.70: Finding Limits of Trigonometric Functions In Exercises 69 and 70, f...
 5.1.71: Determining Identities In Exercises 71 and 72, determine whether th...
 5.1.72: Determining Identities In Exercises 71 and 72, determine whether th...
 5.1.73: Trigonometric Substitution Use the trigonometric substitution where...
 5.1.74: HOW DO YOU SEE IT? Explain how to use the figure to derive the Pyth...
 5.1.75: Writing Trigonometric Functions in Terms of Sine Write each of the ...
 5.1.76: Rewriting a Trigonometric Expression Rewrite the following expressi...
Solutions for Chapter 5.1: Using Fundamental Identities
Full solutions for Precalculus with Limits  3rd Edition
ISBN: 9781133947202
Solutions for Chapter 5.1: Using Fundamental Identities
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus with Limits, edition: 3. This expansive textbook survival guide covers the following chapters and their solutions. Since 76 problems in chapter 5.1: Using Fundamental Identities have been answered, more than 33954 students have viewed full stepbystep solutions from this chapter. Chapter 5.1: Using Fundamental Identities includes 76 full stepbystep solutions. Precalculus with Limits was written by and is associated to the ISBN: 9781133947202.

Absolute value of a vector
See Magnitude of a vector.

Acceleration due to gravity
g ? 32 ft/sec2 ? 9.8 m/sec

Bounded below
A function is bounded below if there is a number b such that b ? ƒ(x) for all x in the domain of f.

Cofunction identity
An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

Ellipsoid of revolution
A surface generated by rotating an ellipse about its major axis

Equilibrium point
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

Explicitly defined sequence
A sequence in which the kth term is given as a function of k.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

Inverse variation
See Power function.

Limit
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

Linear function
A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Partial fractions
The process of expanding a fraction into a sum of fractions. The sum is called the partial fraction decomposition of the original fraction.

Probability of an event in a finite sample space of equally likely outcomes
The number of outcomes in the event divided by the number of outcomes in the sample space.

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Second
Angle measure equal to 1/60 of a minute.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Speed
The magnitude of the velocity vector, given by distance/time.

Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

xcoordinate
The directed distance from the yaxis yzplane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.