Explanation Given: ► The function f ( θ ) = 2 sin 4 θ ► Interval [ 0 , 2 π ] Trigonometry is a branch of mathematics that focuses on relationships between the sides and angles of triangles. In trigonometry there are trigonometric ratios that relate the angle measures of a right triangle to the length of its sides. The six trigonometric functions for any right angled triangle by assuming that the angle θ lies between 0 to π 2 (in radians) are defined as below. Signs of Trigonometric Functions: Quadrant In Degrees In Radians sin θ cos θ tan θ csc θ = 1 sin θ sec θ = 1 cos θ cot θ = 1 tan θ I 0 ∘ t o 90 ∘ 0 t o π 2 + v e + v e + v e + v e + v e + v e I I 90 ∘ t o 180 ∘ π 2 t o π + v e − v e − v e + v e − v e − v e I I I 180 ∘ t o 270 ∘ π t o 3 π 2 − v e − v e + v e − v e − v e + v e I V 270 ∘ t o 360 ∘ 3 π 2 t o 2 π − v e + v e − v e − v e + v e − v e Angle In Radians sin θ cos θ tan θ csc θ = 1 sin θ sec θ = 1 cos θ cot θ = 1 tan θ 0 0 1

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 1.4, Problem 35E

To determine

The sketch of the graph f(θ)=2sin4θ over [0,2π]

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Chapter 1.4, Problem 34E

Chapter 1.4, Problem 36E

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Sketch θ=7π/6 in standard position.

Chapter 1 Solutions

CALCULUS (CLOTH)

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

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The sketch of the graph f ( θ ) = 2 sin 4 θ over [ 0 , 2 π ]

Solution Summary: The author explains that trigonometry is a branch of mathematics that focuses on relationships between the sides and angles of triangles.

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The sketch of the graph f(θ)=2sin4θ over [0,2π]

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Chapter 1 Solutions