Explanation Definition used: The sum of 3 angles in a triangle is 180 ° . Since one of the angle in a right triangle is 90 ° , the sum of other two angle is 90 ° . Therefore, those angles are acute angles, they are also called as complementary angles. Formula used: Let A be an acute angle of a right triangle. Then the six trigonometric functions of A are as follows. sin A = side opposite A hypotenuse , cos A = side adjacent A hypotenuse , tan A = side opposite A side adjacent A , csc A = hypotenuse side opposite A , sec A = hypotenuse side adjacent A , cot A = side adjacent A side opposite A Calculation: The given figure is a combination of two right angle triangles as shown below. From Figure 1, it is observed that angle A is 25 ° and angle C is 90 ° . By the above definition, the sum of the angle A and B is 90 ° . Therefore, A + B = 90 ° 25 ° + B = 90 ° B = 90 ° − 25 ° B = 65 ° Now compute the value of d using the trigonometric function sine as follows

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

11th Edition

ISBN: 9780137554843

Author: Allyn Washington, Richard Evans

Publisher: PEARSON+

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

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Chapter 4, Problem 61RE

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Chapter 4 Solutions

Pearson eText for Basic Technical Mathematics with Calculus -- Instant Access (Pearson+)

Ch. 4.1 - Change 17°24′ to decimal form. Ch. 4.1 - Prob. 2PE Ch. 4.1 - Prob. 3PE Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E

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