Solutions for MAT 171 ACCESS CODE
Problem 1SP:
Suppose that the real number t corresponds to the point P55,255 on the unit circle. Evaluate the six...Problem 4SP:
Given sint=37 and cost=2107 use the reciprocal and quotient identities to find the values of the...Problem 8SP:
Use the properties of the trigonometric functions to simplify. a. sect2sect b. sin2t+2sin2tProblem 9SP:
Use a calculator to approximate the function values. Round to 4 decimal places. a. tan1.4 b. cot8Problem 1PE:
The graph of x2+y2=1 is known as the circle. It has a radius of length and center at the .Problem 2PE:
The circumference of the unit circle is . Thus, the t=2 value represents of a revolution.Problem 9PE:
The period of the tangent and cotangent functions is . The period of the sine, cosine, cosecant,...Problem 10PE:
The cosine function is an function because cost=cost . The sine function is an function because...Problem 15PE:
For Exercises 15-18, the real number t corresponds to the point P on the unit circle. Evaluate the...Problem 16PE:
For Exercises 15-18, the real number t corresponds to the point P on the unit circle. Evaluate the...Problem 21PE:
For Exercises 20-23, identify the coordinates of point P . Then evaluate the six trigonometric...Problem 22PE:
For Exercises 20-23, identify the coordinates of point P . Then evaluate the six trigonometric...Problem 24PE:
For Exercises 24-26, identify the ordered pairs on the unit circle corresponding to each real number...Problem 26PE:
For Exercises 24-26, identify the ordered pairs on the unit circle corresponding to each real number...Problem 27PE:
For Exercises 27-32, evaluate the trigonometric function at the given real number. ft=cost;t=23Problem 28PE:
For Exercises 27-32, evaluate the trigonometric function at the given real number. gt=sint;t=54Problem 29PE:
For Exercises 27-32, evaluate the trigonometric function at the given real number. ht=cott;t=116Problem 30PE:
For Exercises 27-32, evaluate the trigonometric function at the given real number. st=sect;t=53Problem 31PE:
For Exercises 27-32, evaluate the trigonometric function at the given real number. zt=csct;t=74Problem 32PE:
For Exercises 27-32, evaluate the trigonometric function at the given real number. rt=tant;t=56Problem 33PE:
For Exercises 33-38, select the domain of the trigonometric function. a. All real numbers b....Problem 35PE:
For Exercises 33-38, select the domain of the trigonometric function a. All real numbers b....Problem 36PE:
For Exercises 33-38, select the domain of the trigonometric function a. All real numbers b....Problem 39PE:
For Exercises 39-42, evaluate the function if possible. (See Example 3) a. sin0 b. cot c. tan3 d....Problem 40PE:
For Exercises 39-42, evaluate the function if possible. (See Example 3) a. cos2 b. csc2 c. cot52 d....Problem 41PE:
For Exercises 39-42, evaluate the function if possible. (See Example 3) a. sin32 b. cos72 c. tan32...Problem 42PE:
For Exercises 39-42, evaluate the function if possible. (See Example 3) a. cot0 b. cos2 c. csc d....Problem 43PE:
For Exercises 43-46, given the values for sint and cost , use the reciprocal and quotient identities...Problem 44PE:
For Exercises 43-46, given the values for sint and cost , use the reciprocal and quotient identities...Problem 46PE:
For Exercises 43-46, given the values for sint and cost , use the reciprocal and quotient identities...Problem 47PE:
For Exercises 47-48, derive the given identity from the Pythagorean identity, sin2t+cos2t=1 ....Problem 49PE:
For Exercises 49-54, use an appropriate Pythagorean identity to find the indicated value. (See...Problem 50PE:
For Exercises 49-54, use an appropriate Pythagorean identity to find the indicated value. (See...Problem 51PE:
For Exercises 49-54, use an appropriate Pythagorean identity to find the indicated value. (See...Problem 52PE:
For Exercises 49-54, use an appropriate Pythagorean identity to find the indicated value. (See...Problem 55PE:
Write sin t in terms of cos t for a. t in Quadrant I. (See Example 6) b. t in Quadrant III.Problem 60PE:
Given that sec1112=26 , determine the value of sec1312Problem 62PE:
Given that sin10=514 , determine the value of csc2110 .Problem 63PE:
For Exercises 63-66, use the periodic properties of the trigonometric functions to simplify each...Problem 64PE:
For Exercises 63-66, use the periodic properties of the trigonometric functions to simplify each...Problem 67PE:
For Exercises 67-74, use the even-odd and periodic properties of the trigonometric functions to...Problem 69PE:
For Exercises 67-74, use the even-odd and periodic properties of the trigonometric functions to...Problem 70PE:
For Exercises 67-74, use the even odd and periodic properties of the trigonometric functions to...Problem 72PE:
For Exercises 67-74, use the even-odd and periodic properties of the trigonometric functions to...Problem 73PE:
For Exercises 67-74, use the even-odd and periodic properties of the trigonometric functions to...Problem 74PE:
For Exercises 67-74, use the even-odd and periodic properties of the trigonometric functions to...Problem 75PE:
Use a calculator to approximate the function values. Round to 4 decimal places. (See Example 9) a...Problem 76PE:
Use a calculator to approximate the function values. Round to 4 decimal places. (See Example 9) a....Problem 77PE:
Use a calculator to approximate the function values. Round to 4 decimal places. (See Example 9) a....Problem 78PE:
Use a calculator to approximate the function values. Round to 4 decimal places. (See Example 9) a....Problem 79PE:
For Exercises 79-80 evaluate sint, cost, and tant for the real number t . a. t=23 b. t=43Problem 82PE:
For Exercises 81-86, identify the values of t on the interval 0,2 that make the function undefined...Problem 83PE:
For Exercises 81-86, identify the values of t on the interval 0,2 that make the function undefined...Problem 85PE:
For Exercises 81-86, identify the values of t on the interval 0,2 that make the function undefined...Problem 86PE:
For Exercises 81-86, identify the values of t on the interval 0,2 that make the function undefined...Problem 87PE:
For Exercises 87-92, select all properties that apply to the trigonometric function. a. The function...Problem 88PE:
For Exercises 87-92, select all properties that apply to the trigonometric function. a. The function...Problem 89PE:
For Exercises 87-92, select all properties that apply to the trigonometric function. a. The function...Problem 90PE:
For Exercises 87-92, select all properties that apply to the trigonometric function. a. The function...Problem 91PE:
For Exercises 87-92, select all properties that apply to the trigonometric function. a. The function...Problem 92PE:
For Exercises 87-92, select all properties that apply to the trigonometric function. a. The function...Problem 98PE:
For exercises 93-98, simplify using properties of trigonometric functions. tan223+csc254Problem 100PE:
The fluctuating brightness of a distant star is given by the function fd=3.8+0.25sin23d Where d is...Problem 107PE:
Explain why 1cost1 and 1sint1 for all real numbers t .Problem 109PE:
For Exercises 109-114, use the figure to estimate the value of (a) sint and (b) cost for the given...Problem 112PE:
For Exercises 109-114, use the figure to estimate the value of (a) sint and (b) cost for the given...Problem 115PE:
For Exercises 115-120, use the figure from exercises 109-114 to approximate the solutions to the...Problem 118PE:
For Exercises 115-120, use the figure from exercises 109-114 to approximate the solutions to the...Problem 122PE:
Prove that the period of ft=cost is 2 .Browse All Chapters of This Textbook
Chapter R - Review Of PrerequisitesChapter R.1 - Sets And The Real Number LineChapter R.2 - Exponents And RadicalsChapter R.3 - Polynomials And FactoringChapter R.4 - Rational Expressions And More Operations On RadicalsChapter R.5 - Equations With Real SolutionsChapter R.6 - Complex Numbers And More Quadratic EquationsChapter R.7 - Applications Of EquationsChapter R.8 - Linear, Compound, And Absolute Value InequalitiesChapter 1 - Functions And Relations
Chapter 1.1 - The Rectangular Coordinate System And Graphing UtilitiesChapter 1.2 - CirclesChapter 1.3 - Functions And RelationsChapter 1.4 - Linear Equations In Two Variables And Linear FunctionsChapter 1.5 - Applications Of Linear Equations And ModelingChapter 1.6 - Transformations Of GraphsChapter 1.7 - Analyzing Graphs Of Functions And Piecewise-defined FunctionsChapter 1.8 - Algebra Of Functions And Function CompositionChapter 2 - Polynomial And Rational FunctionsChapter 2.1 - Quadratic Functions And ApplicationsChapter 2.2 - Introduction To Polynomial FunctionsChapter 2.3 - Division Of Polynomials And The Remainder And Factor TheoremsChapter 2.4 - Zeros Of PolynomialsChapter 2.5 - Rational FunctionsChapter 2.6 - Polynomial And Rational InequalitiesChapter 2.7 - VariationChapter 3 - Exponential And Logarithmic FunctionsChapter 3.1 - Inverse FunctionsChapter 3.2 - Exponential FunctionsChapter 3.3 - Logarithmic FunctionsChapter 3.4 - Properties Of LogarithmsChapter 3.5 - Exponential And Logarithmic Equations And ApplicationsChapter 3.6 - Modeling With Exponential And Logarithmic FunctionsChapter 4 - Trigonometric FunctionsChapter 4.1 - Angles And Their MeasureChapter 4.2 - Trigonometric Functions Defined On The Unit CircleChapter 4.3 - Right Triangle TrigonometryChapter 4.4 - Trigonometric Functions Of Any AngleChapter 4.5 - Graphs Of Sine And Cosine FunctionsChapter 4.6 - Graphs Of Other Trigonometric FunctionsChapter 4.7 - Inverse Trigonometric FunctionsChapter 5 - Analytic TrigonometryChapter 5.1 - Fundamental Trigonometric IdentitiesChapter 5.2 - Sum And Difference FormulasChapter 5.3 - Double-angle, Power-reducing, And Half-angle FormulasChapter 5.4 - Product-to-sum And Sum-to-product FormulasChapter 5.5 - Trigonometric EquationsChapter 6 - Applications Of Trigonometric FunctionsChapter 6.1 - Applications Of Right TrianglesChapter 6.2 - The Law Of SinesChapter 6.3 - The Law Of CosinesChapter 6.4 - Harmonic MotionChapter 7 - Trigonometry Applied To Polar Coordinate Systems And VectorsChapter 7.1 - Polar CoordinatesChapter 7.2 - Graphs Of Polar EquationsChapter 7.3 - Complex Numbers In Polar FormChapter 7.4 - VectorsChapter 7.5 - Dot ProductChapter 8 - Systems Of Equations And InequalitiesChapter 8.1 - Systems Of Linear Equations In Two Variables And ApplicationsChapter 8.2 - Systems Of Linear Equations In Three Variables And ApplicationsChapter 8.3 - Partial Fraction DecompositionChapter 8.4 - Systems Of Nonlinear Equations In Two VariablesChapter 8.5 - Inequalities And Systems Of Inequalities In Two VariablesChapter 8.6 - Linear ProgrammingChapter 9 - Matrices And Determinants And ApplicationsChapter 9.1 - Solving Systems Of Linear Equations Using MatricesChapter 9.2 - Inconsistent Systems And Dependent EquationsChapter 9.3 - Operations On MatricesChapter 9.4 - Inverse Matrices And Matrix EquationsChapter 9.5 - Determinants And Cramer’s RuleChapter 10 - Analytic GeometryChapter 10.1 - The EllipseChapter 10.2 - The HyperbolaChapter 10.3 - The ParabolaChapter 10.4 - Rotation Of AxesChapter 10.5 - Polar Equations Of ConicsChapter 10.6 - Plane Curves And Parametric EquationsChapter 11 - Sequences, Series, Induction, And ProbabilityChapter 11.1 - Sequences And SeriesChapter 11.2 - Arithmetic Sequences And SeriesChapter 11.3 - Geometric Sequences And SeriesChapter 11.4 - Mathematical InductionChapter 11.5 - The Binomial TheoremChapter 11.6 - Principles Of CountingChapter 11.7 - Introduction To Probability
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