Explanation Given: Given that f ( θ ) = tan θ and the point ( π 4 , 1 ) Calculation: Equation of the tangent line to the curve of f ( θ ) = tan θ at the point ( a , b ) = ( π 4 , 1 ) is given by the below expression. y − b = f ' ( a ) ⋅ ( x − a ) y − 1 = f ' ( π 4 ) ⋅ ( x − π 4 ) ........ ( 1 ) Now differentiate f ( θ ) with respect to θ , it gives f ' ( θ ) = d d θ tan θ f ' ( θ ) = sec 2

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 3.3, Problem 45PS

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Chapter 3.3, Problem 44PS

Chapter 3.3, Problem 46PS

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Chapter 3 Solutions

Calculus

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Equation of tangent line to the curve of given function at a point.

Solution Summary: The author calculates the equation of tangent line to the curve of f(theta )=mathrmtan

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Chapter 3 Solutions