Explanation Given: A limit: lim θ → 0 sin ( 2 θ ) − 2 sin ( θ ) θ 2 . Calculation: Upon substituting sin ( 2 θ ) = 2 sin ( θ ) cos ( θ ) in our given function, we will get: lim x → 0 2 sin ( θ ) cos ( θ ) − 2 sin ( θ ) θ 2 Now, we can rewrite our given limit as: lim x → 0 2 sin ( θ ) cos ( θ ) − 2 sin ( θ ) θ 2 ⇒ lim x → 0 2 sin ( θ ) ( cos ( θ ) − 1 ) θ 2 ⇒ lim x → 0 2 sin ( θ ) θ ⋅ ( cos

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

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Chapter 2.6, Problem 49E

To determine

To evaluate:

The given limit using property sin(2θ)=2sin(θ)cos(θ) .

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Chapter 2.6, Problem 48E

Chapter 2.6, Problem 50E

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Chapter 2 Solutions

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