Study Guides

61.
Trigonometry and Cosine Study Guide
Trigonometry and Cosine In this lesson, we study a new trigonometric function, cosine. Just as with sine, this function is based on a right triangle. For cosine, however, we use a different pair of sides from that triangle. We find the cosine for ...
Source: LearningExpress, LLC 
62.
Trigonometry and Tangents Study Guide
Trigonometry and Tangents In this lesson, we study the third trigonometric function, tangent. Tangent is much like sine and cosine, but it uses different sides of the right triangle. We evaluate the tangent for a number of angles, ...
Source: LearningExpress, LLC 
63.
Secant, Cosecant, and Cotangent Study Guide
Secant, Cosecant, and Cotangent In this lesson, we introduce the last three trigonometric functions: secant, cosecant, and cotangent. Again, these are evaluated by dividing one length of a right triangle by another. We then ...
Source: LearningExpress, LLC 
64.
Isosceles and Equilateral Triangles Study Guide
Isosceles and Equilateral Triangles In this lesson, we study two special right triangles for which we are able to know both the angle measures and the trigonometric values. The first triangle is the isosceles right triangle, with two 45° ...
Source: LearningExpress, LLC 
65.
The Unit Circle Study Guide
The Unit Circle In this lesson, we find the coordinates of many of the points on the unit circle. So far, we have evaluated trigonometric functions only for acute angles, those between 0° and 90°. To work with other angles, ...
Source: LearningExpress, LLC 
66.
Nice Angles Study Guide
Nice Angles We now evaluate the trigonometric values of angles that are larger than 90° and less than 0°. The sine and cosine come directly from the y and xcoordinates of the point on the unit circle, which correspond ...
Source: LearningExpress, LLC 
67.
Calculator Trigonometry Study Guide
Calculator Trigonometry This lesson contains the essence of trigonometry but without the explanations. With a calculator, you can find any side of a right triangle if you know one side and an angle. The only disadvantage to using a calculator is ...
Source: LearningExpress, LLC 
68.
Finding Length in Trigonometry Study Guide
Finding Length in Trigonometry In this lesson, we use the basic trigonometric functions to solve word problems. In these problems, we use an angle and a distance to find the other distances around a right triangle. It is fortunate ...
Source: LearningExpress, LLC 
69.
Inverse Functions Study Guide
Inverse Functions In this lesson, we introduce inverse trigonometric functions. With these, we are able to find the angles of right triangles whose sides are known. When we plug an angle θ into a trigonometric function ...
Source: LearningExpress, LLC 
70.
Finding Angles in Right Triangles Study Guide
Finding Angles in Right Triangles In this lesson, we explore a variety of word problems in which we must calculate the measure of an angle from a right triangle. With inverse trigonometric functions sin–1, cos–1, ...
Source: LearningExpress, LLC