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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781337275347
BuyFind

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781337275347

Solutions

Chapter
Section
Chapter P.4, Problem 30E
Textbook Problem
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Determining a Quadrant In Exercises 29 and 30, determine the quadrant in which θ lies.

(a) sin θ > 0 and cos θ < 0

(b) csc θ < 0 and tan θ > 0

Expert Solution

(a)

To determine

In which quadrant does θ lie for the trigonometric relations sinθ>0 and cosθ<0.

Explanation of Solution

There are four quadrants in the x-y plane where the values of sin,cos,tan vary according to the quadrant they are in.

In the 1st quadrant – All relations are positive.

In the 2nd quadrant – Sine is positive.

In the 3rd quadrant – Tan is positive.

In the 4th quadrant – cos is positive

Expert Solution

(b)

To determine

In which quadrant does θ lie for the trigonometric relations cscθ<0 and tanθ>0.

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Chapter P Solutions

Calculus (MindTap Course List)
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P - Sketching a Line in the Plane In Exercises 27-30,...Ch. P - Sketching a Line in the Plane In Exercises 27-30,...Ch. P - Finding an Equation of a Line In Exercises 31 and...Ch. P - Finding an Equation of a Line In Exercises 31 and...Ch. P - Finding Equations of Lines Find equations of the...Ch. P - Finding Equations of Lines Find equations of the...Ch. P - Rate of Change The purchase price of a new machine...Ch. P - Break-Even Analysis A contractor purchases a piece...Ch. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Evaluating a Function In Exercises 37-40, evaluate...Ch. P - Finding the Domain and Range of a Function In...Ch. P - Finding the Domain and Range of a Function In...Ch. P - Finding the Domain and Range of a Function In...Ch. P - Finding the Domain and Range of a Function In...Ch. 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