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To further justify the Cofunction. Theorem, use your calculator to find a value for the given pair of trigonometric functions. In each case, the trigonometric functions arc cofunctions of one another, and the angles arc complementary angles. Round your answers to four places past the decimal point. tan 4 ° 30 ' cot 85 ° 30 '

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Trigonometry (MindTap Course List)

8th Edition
Charles P. McKeague + 1 other
Publisher: Cengage Learning
ISBN: 9781305652224

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BuyFindarrow_forward

Trigonometry (MindTap Course List)

8th Edition
Charles P. McKeague + 1 other
Publisher: Cengage Learning
ISBN: 9781305652224
Chapter 2.2, Problem 77PS
Textbook Problem
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To further justify the Cofunction. Theorem, use your calculator to find a value for the given pair of trigonometric functions. In each case, the trigonometric functions arc cofunctions of one another, and the angles arc complementary angles. Round your answers to four places past the decimal point. tan 4 ° 30 ' cot 85 ° 30 '

To determine

To find:

The value of the given pair of trigonometric functions by using calculator and rounding the answer to four places past the decimal point:

Tan4°30',Cot85°30'

Explanation of Solution

Given information:

Tan4°30',Cot85°30'

The given pair of trigonometric functions is co functions of one another and angles are complementary angles.

Concept Used:

According to co function theorem: A trigonometric function of an angle is always equal to the co function of the complement of the angle.

Calculation:

Here the pair of trigonometric functions is

Tan4°30',Cot85°30'

Since the given pair of trigonometric functions are in degrees and minutes therefore we will first convert them into decimal degrees as follows;

4°30'4°30'=4°+30'4°30'=4°+(3060)°Dividing30by60,wehavethenumberofdegreesequivalentto30'4°30'=4°+0.5°4°30'=4+0.5°4°30'=4.5°

85°30'85°30'=85°+30'85°30'=85°+(3060)°Dividing30by60,wehavethenumberofdegreesequivalentto30'85°30'=85°+0

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Chapter 2 Solutions

Trigonometry (MindTap Course List)
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Round to...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - Use a calculator to find to the nearest tenth of...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - The following problems refer to right triangle ABC...Ch. 2 - Geometry If the altitude of an isosceles triangle...Ch. 2 - Angle of Elevation If the angle of elevation of...Ch. 2 - Distance Two guy wires from the top of a 35-foot...Ch. 2 - Vector Angle Vector V has a horizontal vector...Ch. 2 - Velocity A bullet is fired into the air with an...Ch. 2 - Distance and Bearing A ship travels 120 miles on a...Ch. 2 - Force Tyler and his cousin Kelly have attached a...Ch. 2 - Force Tyler and Kelly decide to rollerskate. 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