Explanation Formula used: Trigonometry ratios: sin θ = Opposite Hypotenuse , csc θ = Hypotenuse Opposite , cos θ = Adjacent Hypotenuse , sec θ = Hypotenuse Adjacent tan θ = Opposite Adjacent and cot θ = Adjacent Opposite . Theorem used: Pythagoras theorem: For a right triangle ABC , ( hypotenuse ) 2 = ( base ) 2 + ( opposite side ) 2 . Calculation: Consider a right triangle ABC with an angle 30 ° where C is the midpoint of the base BD of an equilateral triangle ABD with side length 2 units. The right triangle is as shown below in Figure 1. From Figure 1, it is observed that the hypotenuse and opposite side of angle 30 ° are 2 and 1 respectively

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134668574

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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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 8.1, Problem 18E

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To find: The exact value of cot30° without the use of a calculator.

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Chapter 8.1, Problem 17E

Chapter 8.1, Problem 19E

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Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

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The exact value of cot 30 ° without the use of a calculator.

Solution Summary: The author explains how to find the exact value of mathrmcot30° without the use of a calculator.

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