O TRIGONOMETRIC FUNCTIONSFinding values of trigonometric functions given information abo...7Let be an angle such that csc 0 =TFind the exact values of tan and cose.tan 0 0-cos 0 =00and cot 0 0.0/6$

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Answered: Let be an angle such that csc 0 FERD…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter6: Trigonometric Functions: Unit Circle Approach

Section6.CR: Chapter Review

Problem 25E

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A right triangle with an angle is shown in the figure. a Label the opposite and adjacent sides of and the hypotenuse of the triangle. bThe trigonometric functions of the angle are defined as follows: sin=, cos=, tan= c The trigonometric ratios do not depend on the size of the triangle. This is because all right triangles with the same acute angle are ______________.
Evaluating Trigonometric Functions Find the value of each of the six trigonometric functions if it is defined at the given real number t. Use your answers to complete the table. t= t sint cost tant csct sect cott 0 undefined
Take this test as you would take a test in class. When you are finished, check your work against the answers given in the back of the book. Find the exact values of the six trigonometric functions of the angle shown in the figure.
Distance to the moon To find the distance to the sun as in Exercise 67, we needed to know the distance to the moon. Here is a way to estimate the distance When the moon is seen at its zenith at a point A on the earth, it is observed to be at the horizon from point B see the following figure. Points A and B are 6155 mi apart, and the radius of the earth is 3960 mi. a Find the angle in degree. b Estimate the distance from point A to the moon.
Geometry Use a compass to sketch a quarter of a circle of radius 10 centimeters. Using a protractor, construct an angle of 20 in standard position (see figure). Drop a perpendicular line from the point of intersection of the terminal side of the angle and the arc of the circle. By actual measurement, calculate the coordinates x,y of the point of intersection and use these measurements to approximate the six trigonometric functions of a 20 angle.
17-28 From Radians to Degrees Find the degree measure of the angle with the given radian measure. 10
Take this test as you would take a test in class. When you are finished, check your work against the answers given in the back of the book. Consider the angle =120. (a) Sketch the angle in standard position. (b) Determine a coterminal angle in the interval 0,360. (c) Rewrite the angle in radian measure as a multiple of . Do not use a calculator. (d) Find the reference angle . (e) Find the exact values of the six trigonometric functions of .
Evaluating Trigonometric Functions Find the value of each of the six trigonometric functionsif it is defined at the given real number t. Use your answers to complete the table. t=2 t sint cost tant csct sect cott 2
Similar Triangles and Trigonometric Functions Use the figure below. (a) Explain why ABC,ADE, and AFG are similar triangles. (b) What does similarity imply about the ratios BCAB,DEAD,andFGAF? (c) Does the value of sinA depend on which triangle from part a is used to calculate it? Does the value of sinA change when you use a different right triangle similar to the three given triangles? (d) Do your conclusions from part c apply to the other five trigonometric functions? Explain.

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Let be an angle such that csc 0 FERD Find the exact values of tan and cos 0. tan 0 = cose = 7 0 X given information abo... and cot00. 0/6