Solutions for CALCULUS,VOLUME 1 (OER)
Problem 113E:
For the following exercises, convert each angle in degrees to radians. Write the answer as a...Problem 114E:
For the following exercises, convert each angle in degrees to radians. Write the answer as a...Problem 115E:
For the following exercises, convert each angle in degrees to radians. Write the answer as a...Problem 116E:
For the following exercises, convert each angle in degrees to radians. Write the answer as a...Problem 117E:
For the following exercises, convert each angle in degrees to radians. Write the answer as a...Problem 123E:
Evaluate the following functional values. 123. cos(43)Problem 124E:
Evaluate the following functional values. 124. tan(194)Problem 125E:
Evaluate the following functional values. 125. sin(34)Problem 126E:
Evaluate the following functional values. 126. sec(6)Problem 127E:
Evaluate the following functional values. 127. sin(12)Problem 128E:
Evaluate the following functional values. 128. cos(512)Problem 129E:
For the following exercises, consider triangle ABC, a right triangle with a right angle at C. a....Problem 130E:
For the following exercises, consider triangle ABC, a right triangle with a right angle at C. a....Problem 131E:
For the following exercises, consider triangle ABC, a right triangle with a right angle at C. a....Problem 132E:
For the following exercises, consider triangle ABC, a right triangle with a right angle at C. a....Problem 133E:
For the following exercises, consider triangle ABC, a right triangle with a right angle at C. a....Problem 134E:
For the following exercises, consider triangle ABC, a right triangle with a right angle at C. a....Problem 135E:
For the following exercises, P is a point on the unit circle. a. Find the (exact) missing coordinate...Problem 136E:
For the following exercises, P is a point on the unit circle, a. Find the (exact) missing coordinate...Problem 137E:
For the following exercises, P is a point on the unit circle, a. Find the (exact) missing coordinate...Problem 138E:
For the following exercises, P is a point on the unit circle, a. Find the (exact) missing coordinate...Problem 139E:
For the following exercises, simplify each expression by writing it in terms of sines and cosines,...Problem 140E:
For the following exercises, simplify each expression by writing it in terms of sines and cosines,...Problem 141E:
For the following exercises, simplify each expression by writing it in terms of sines and cosines,...Problem 142E:
For the following exercises, simplify each expression by writing it in terms of sines and cosines,...Problem 143E:
For the following exercises, simplify each expression by writing it in terms of sines and cosines,...Problem 144E:
For the following exercises, simplify each expression by writing it in terms of sines and cosines,...Problem 145E:
For the following exercises, simplify each expression by writing it in terms of sines and cosines,...Problem 146E:
For the following exercises, simplify each expression by writing it in terms of sines and cosines,...Problem 147E:
For the following exercises, verify that each equation is an identity. 147. tancotcsc=sinProblem 148E:
For the following exercises, verify that each equation is an identity. 148. sec2tan=seccscProblem 149E:
For the following exercises, verify that each equation is an identity. 149. sintcsct+costsect=1Problem 150E:
For the following exercises, verify that each equation is an identity. 150. sinxcosx+1+cosx1sinx=0Problem 151E:
For the following exercises, verify that each equation is an identity. 151. cot+tan=seccscProblem 152E:
For the following exercises, verify that each equation is an identity. 152. sin2+tan2+cos2=sec2Problem 153E:
For the following exercises, verify that each equation is an identity. 153. 11sin+11+sin=2sec2Problem 154E:
For the following exercises, verify that each equation is an identity. 154. tancotsincos=sec2csc2Problem 155E:
For the following exercises, solve the trigonometric equations on the interval 02 . 155. 2sin1=0Problem 156E:
For the following exercises, solve the trigonometric equations on the interval 02 . 156. 1+cos=12Problem 157E:
For the following exercises, solve the trigonometric equations on the interval 02 . 157. 2tan2=2Problem 158E:
For the following exercises, solve the trigonometric equations on the interval 02 . 158. 4sin22=0Problem 159E:
For the following exercises, solve the trigonometric equations on the interval 02 . 159. 3cot+1=0Problem 160E:
For the following exercises, solve the trigonometric equations on the interval 02 . 160. 3sec23=0Problem 161E:
For the following exercises, solve the trigonometric equations on the interval 02 . 161. 2cossin=sinProblem 162E:
For the following exercises, solve the trigonometric equations on the interval 02 . 162....Problem 163E:
For the following exercises, each graph is of the form y=AsinBxory=AcosBx , where B >0. Write the...Problem 164E:
For the following exercises, each graph is of the form y=AsinBxory=AcosBx , where B >0. Write the...Problem 165E:
For the following exercises, each graph is of the form y=AsinBxory=AcosBx , where B >0. Write the...Problem 166E:
For the following exercises, each graph is of the form y=AsinBxory=AcosBx , where B >0. Write the...Problem 167E:
For the following exercises, find a. the amplitude, b. the period, and c. the phase shift with...Problem 168E:
For the following exercises, find a. the amplitude, b. the period, and c. the phase shift with...Problem 169E:
For the following exercises, find a. the amplitude, b. the period, and c. the phase shift with...Problem 170E:
For the following exercises, find a. the amplitude, b. the period, and c. the phase shift with...Problem 171E:
For the following exercises, find a. the amplitude, b. the period, and c. the phase shift with...Problem 172E:
For the following exercises, find a. the amplitude, b. the period, and c. the phase shift with...Problem 173E:
[T] The diameter of a wheel rolling on the ground is 40 in. If the wheel rotates through an angle of...Problem 174E:
[T] Find the length of the arc intercepted by central angle 3 in a circle of radius r. Round to the...Problem 175E:
[T] As a point P moves around a circle, the measure of the angle changes. The measure of how fast...Problem 176E:
[T] A total of 250,000 m2 of land is needed to build a nuclear power plant. Suppose it is decided...Problem 177E:
[T] The area of an isosceles triangle with equal sides of length x is 12x2sin , where is the angle...Problem 178E:
[T] A panicle travels in a circular path at a constant angular speed . The angular speed is modeled...Problem 179E:
[T] An alternating current for outlets in a home has voltage given by the function V(t)=150cos368t ,...Browse All Chapters of This Textbook
Chapter 1 - Functions And GraphsChapter 1.1 - Review Of FunctionsChapter 1.2 - Basic Classes Of FunctionsChapter 1.3 - Trigonometric FunctionsChapter 1.4 - Inverse FunctionsChapter 1.5 - Exponential And Logarithmic FunctionsChapter 2 - LimitsChapter 2.1 - A Preview Of CalculusChapter 2.2 - The Limit Of A FunctionChapter 2.3 - The Limit Laws
Chapter 2.4 - ContinuityChapter 2.5 - The Precise Definition Of A LimitChapter 3 - DerivativesChapter 3.1 - Defining The DerivativeChapter 3.2 - The Derivative As A FunctionChapter 3.3 - Differentiation RulesChapter 3.4 - Derivatives As Rates Of ChangeChapter 3.5 - Derivatives Of Trigonometric FunctionsChapter 3.6 - The Chain RuleChapter 3.7 - Derivatives Of Inverse FunctionsChapter 3.8 - Implicit DifferentiationChapter 3.9 - Derivatives Of Exponential And Logarithmic FunctionsChapter 4 - Applications Of DerivativesChapter 4.1 - Related RatesChapter 4.2 - Linear Approximations And DifferentialsChapter 4.3 - Maxima And MinimaChapter 4.4 - The Mean Value TheoremChapter 4.5 - Derivatives And The Shape Of A GraphChapter 4.6 - Limits At Infinity And AsymptotesChapter 4.7 - Applied Optimization ProblemsChapter 4.8 - L'hopitars RuleChapter 4.9 - Newton's MethodChapter 4.10 - AntiderivativesChapter 5 - IntegrationChapter 5.1 - Approximating AreasChapter 5.2 - The Definite IntegralChapter 5.3 - The Fundamental Theorem Of CalculusChapter 5.4 - Integration Formulas And The Net Change TheoremChapter 5.5 - SubstitutionChapter 5.6 - Integrals Involving Exponential And Logarithmic FunctionsChapter 5.7 - Integrals Resulting In Inverse Trigonometric FunctionsChapter 6 - Applications Of IntegrationChapter 6.1 - Areas Between CurvesChapter 6.2 - Determining Volumes By SlicingChapter 6.3 - Volumes Of Revolution: Cylindrical ShellsChapter 6.4 - Arc Length Of A Curve And Surface AreaChapter 6.5 - Physical ApplicationsChapter 6.6 - Moments And Centers Of MassChapter 6.7 - Integrals, Exponential Functions, And LogarithmsChapter 6.8 - Exponential Growth And DecayChapter 6.9 - Calculus Of The Hyperbolic Functions
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